---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '22480'
abstract:
- lang: eng
  text: "Background:\r\nThe spatial distribution of tree canopies influences ecological
    functions and residents’ exposure to green spaces. Although several studies have
    examined green space configuration at neighborhood scales, evidence on tree canopy
    configuration at the municipal scale, an operational unit for urban planning,
    remains limited.\r\nMethods:\r\nWe conducted a nationwide ecological study of
    2,136 Swiss municipalities. Tree canopy coverage (PLAND), aggregation (AI, reflecting
    how tightly green patches are grouped together), patch density (PD, a measure
    of fragmentation), and area-weighted mean shape index (SHAPE_AM, a measure of
    shape complexity) were derived from 1-m canopy maps within municipality-specific
    populated areas. Natural-cause, cardiovascular, and cancer mortality (2017–2019)
    were obtained from the Swiss National Cohort. Fully adjusted negative binomial
    regression models estimated associations between canopy metric and mortality for
    each IQR increase in the metrics.\r\nResults:\r\nHolding configuration constant,
    each IQR increase in canopy coverage (∼18%) was associated with a 3.6% [B: −0.036;
    95% CI: −0.078 – 0.005] reduction in cardiovascular mortality. Higher aggregation
    corresponded to a 4.3% [B: 0.043; 95% CI: 0.026–0.061], an 8.9% [B: 0.089; 95%
    CI: 0.059–0.119], and a 2.1% [B: 0.021; 95% CI: 0–0.042] higher number of natural-cause,
    cardiovascular, and cancer deaths respectively. Higher fragmentation was associated
    with a 3.3% [B: 0.033; 95% CI: 0.016–0.050], a 4.9% [B: 0.049; 95% CI: 0.020–0.078],
    and a 2.2% [B: 0.022; 95% CI: 0.001–0.043] increase in these causes respectively.
    No meaningful associations were observed between shape complexity and any mortality
    outcomes. Associations for aggregation and fragmentation were generally stronger
    in highly urbanized municipalities.\r\nConclusions:\r\nAt the municipal scale,
    mortality was lower where tree canopy was distributed across several moderately
    sized, spatially balanced patches rather than highly aggregated or highly fragmented
    structures. These findings suggest that urban greening strategies should optimize
    its spatial configuration to maximize health benefits."
article_number: '110188'
article_processing_charge: No
article_type: original
author:
- first_name: Dengkai
  full_name: Chi, Dengkai
  last_name: Chi
- first_name: Gabriele
  full_name: Manoli, Gabriele
  last_name: Manoli
- first_name: Jun
  full_name: Yang, Jun
  last_name: Yang
- first_name: Daniel
  full_name: Richards, Daniel
  last_name: Richards
- first_name: Amy
  full_name: Hahs, Amy
  last_name: Hahs
- first_name: Brenda
  full_name: Lin, Brenda
  last_name: Lin
- first_name: Mark J.
  full_name: McDonnell, Mark J.
  last_name: McDonnell
- first_name: Ye
  full_name: Zhang, Ye
  last_name: Zhang
- first_name: Yue
  full_name: Zhu, Yue
  last_name: Zhu
- first_name: Yeshan
  full_name: Qiu, Yeshan
  last_name: Qiu
- first_name: Jing
  full_name: Wang, Jing
  last_name: Wang
- first_name: Xing
  full_name: Zheng, Xing
  last_name: Zheng
- first_name: Paolo
  full_name: Burlando, Paolo
  last_name: Burlando
- first_name: Simone
  full_name: Fatichi, Simone
  id: cf8e546b-a9b0-11f0-a43b-aa89ed1b56d6
  last_name: Fatichi
- first_name: Puay Yok
  full_name: Tan, Puay Yok
  last_name: Tan
citation:
  ama: 'Chi D, Manoli G, Yang J, et al. Tree canopy configuration and Swiss adult
    mortality at the municipal level: A nationwide ecological study. <i>Environment
    International</i>. 2026;209. doi:<a href="https://doi.org/10.1016/j.envint.2026.110188">10.1016/j.envint.2026.110188</a>'
  apa: 'Chi, D., Manoli, G., Yang, J., Richards, D., Hahs, A., Lin, B., … Tan, P.
    Y. (2026). Tree canopy configuration and Swiss adult mortality at the municipal
    level: A nationwide ecological study. <i>Environment International</i>. Elsevier.
    <a href="https://doi.org/10.1016/j.envint.2026.110188">https://doi.org/10.1016/j.envint.2026.110188</a>'
  chicago: 'Chi, Dengkai, Gabriele Manoli, Jun Yang, Daniel Richards, Amy Hahs, Brenda
    Lin, Mark J. McDonnell, et al. “Tree Canopy Configuration and Swiss Adult Mortality
    at the Municipal Level: A Nationwide Ecological Study.” <i>Environment International</i>.
    Elsevier, 2026. <a href="https://doi.org/10.1016/j.envint.2026.110188">https://doi.org/10.1016/j.envint.2026.110188</a>.'
  ieee: 'D. Chi <i>et al.</i>, “Tree canopy configuration and Swiss adult mortality
    at the municipal level: A nationwide ecological study,” <i>Environment International</i>,
    vol. 209. Elsevier, 2026.'
  ista: 'Chi D, Manoli G, Yang J, Richards D, Hahs A, Lin B, McDonnell MJ, Zhang Y,
    Zhu Y, Qiu Y, Wang J, Zheng X, Burlando P, Fatichi S, Tan PY. 2026. Tree canopy
    configuration and Swiss adult mortality at the municipal level: A nationwide ecological
    study. Environment International. 209, 110188.'
  mla: 'Chi, Dengkai, et al. “Tree Canopy Configuration and Swiss Adult Mortality
    at the Municipal Level: A Nationwide Ecological Study.” <i>Environment International</i>,
    vol. 209, 110188, Elsevier, 2026, doi:<a href="https://doi.org/10.1016/j.envint.2026.110188">10.1016/j.envint.2026.110188</a>.'
  short: D. Chi, G. Manoli, J. Yang, D. Richards, A. Hahs, B. Lin, M.J. McDonnell,
    Y. Zhang, Y. Zhu, Y. Qiu, J. Wang, X. Zheng, P. Burlando, S. Fatichi, P.Y. Tan,
    Environment International 209 (2026).
das_tickbox: '1'
date_created: 2026-07-27T12:30:23Z
date_published: 2026-03-01T00:00:00Z
date_updated: 2026-08-03T14:17:29Z
day: '01'
ddc:
- '550'
doi: 10.1016/j.envint.2026.110188
extern: '1'
external_id:
  pmid:
  - '41812348'
has_accepted_license: '1'
intvolume: '       209'
keyword:
- Aggregation
- Fragmentation
- Green space exposure
- Green space morphology
- Green space structure
- Landscape metrics
- Shape complexity
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1016/j.envint.2026.110188
month: '03'
oa: 1
oa_version: Published Version
pmid: 1
publication: Environment International
publication_identifier:
  eissn:
  - 1873-6750
  issn:
  - 0160-4120
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Tree canopy configuration and Swiss adult mortality at the municipal level:
  A nationwide ecological study'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 209
year: '2026'
...
---
OA_place: publisher
OA_type: gold
_id: '22405'
abstract:
- lang: eng
  text: "Computing the diameter of the intersection graphs of objects is a basic problem
    in computational geometry. Previous works showed that the complexity of computing
    the diameter mainly depends on the object types: for unit disks and squares in
    2D, the problem is solvable in truly subquadratic time [Chan et al., 2025], while
    for other objects, including unit segments and equilateral triangles in 2D or
    unit balls and axis-parallel unit cubes in 3D, there is no truly subquadratic
    time algorithm under the Orthogonal Vector (OV) hypothesis [Bringmann et al.,
    2022]. \r\nWe undertake a comprehensive study of computing the diameter of geometric
    intersection graphs for various types of objects. We discover many new irregularities,
    showing that the landscape is extremely nuanced: the source of hardness is a combination
    of the object type, the true diameter value, and how the objects intersect with
    each other. Our highlighted results for the 2D case include:  \r\n1) The diameter
    of non-degenerate, axis-aligned line segments can be computed in truly subquadratic
    time. Previous hardness result [Bringmann et al., 2022] for line segments applies
    only to degenerate instances. On the other hand, for the degenerate case, we show
    that a truly subquadratic time algorithm exists when the true diameter is constant.
    \r\n2) An almost-linear-time algorithm for unit-square graphs of constant diameter.
    Previous algorithms [Duraj et al., 2024; Chan et al., 2025] rely on succinct representation
    assuming bounded VC-dimension; for such a strategy Ω(n^{7/4}) time is an inherent
    barrier. \r\n3) An Õ(n^{4/3})-time algorithm to decide if the diameter of a unit-disk
    graph is at most 2. This improves upon the recent algorithm with running time
    Õ(n^{2-1/9}) [Chan et al., 2025]. \r\n4) Deciding if the diameter of intersection
    graphs of fat triangles or line segments is at most 2 is truly subquadratic-hard
    under fine-grained complexity assumptions. Previous lower bounds [Bringmann et
    al., 2022] only hold when deciding if diameter is at most 3.  Our findings are
    presented in a pair of papers. This paper focuses solely on the 2D case, while
    the companion paper is devoted to higher-dimensional cases."
acknowledgement: "Timothy M. Chan: Supported by NSF grant CCF-2224271.\r\nHsien-Chih
  Chang: Supported by NSF CAREER award CCF-2443017.\r\nJie Gao: Supported by NSF DMS-2220271,
  DMS-2311064, IIS-2229876, CCF-2118953, CNS-2515159.\r\nSándor Kisfaludi-Bak: Supported
  by the Research Council of Finland, Grant 363444.\r\nHung Le: Supported by an NSF
  grant CCF-2517033 and an NSF CAREER Award CCF-2237288.\r\nDa Wei Zheng: This project
  has received funding from the Austrian Science Fund (FWF) grant\r\nDOI 10.55776/I5982.
  For open access purposes, the author has applied a CC BY public copyright\r\nlicense
  to any author-accepted manuscript version arising from this submission.\r\n"
article_number: 54:1-54:22
article_processing_charge: No
arxiv: 1
author:
- first_name: Timothy M.
  full_name: Chan, Timothy M.
  last_name: Chan
  orcid: 0000-0002-8093-0675
- first_name: Hsien-Chih
  full_name: Chang, Hsien-Chih
  last_name: Chang
  orcid: 0000-0001-6714-7988
- first_name: Jie
  full_name: Gao, Jie
  last_name: Gao
  orcid: 0000-0001-5083-6082
- first_name: Sándor
  full_name: Kisfaludi-Bak, Sándor
  last_name: Kisfaludi-Bak
  orcid: 0000-0002-6856-2902
- first_name: Hung
  full_name: Le, Hung
  last_name: Le
  orcid: 0000-0001-8223-9944
- first_name: Da Wei
  full_name: Zheng, Da Wei
  id: af77956b-e859-11ef-8dc9-d301b898e32f
  last_name: Zheng
citation:
  ama: 'Chan TM, Chang H-C, Gao J, Kisfaludi-Bak S, Le H, Zheng DW. Charting the landscape
    of diameter computation on geometric intersection graphs in the plane. In: <i>53rd
    International Colloquium on Automata, Languages, and Programming</i>. Vol 374.
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2026. doi:<a href="https://doi.org/10.4230/LIPICS.ICALP.2026.54">10.4230/LIPICS.ICALP.2026.54</a>'
  apa: 'Chan, T. M., Chang, H.-C., Gao, J., Kisfaludi-Bak, S., Le, H., &#38; Zheng,
    D. W. (2026). Charting the landscape of diameter computation on geometric intersection
    graphs in the plane. In <i>53rd International Colloquium on Automata, Languages,
    and Programming</i> (Vol. 374). Egham, United Kingdom: Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik. <a href="https://doi.org/10.4230/LIPICS.ICALP.2026.54">https://doi.org/10.4230/LIPICS.ICALP.2026.54</a>'
  chicago: Chan, Timothy M., Hsien-Chih Chang, Jie Gao, Sándor Kisfaludi-Bak, Hung
    Le, and Da Wei Zheng. “Charting the Landscape of Diameter Computation on Geometric
    Intersection Graphs in the Plane.” In <i>53rd International Colloquium on Automata,
    Languages, and Programming</i>, Vol. 374. Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik, 2026. <a href="https://doi.org/10.4230/LIPICS.ICALP.2026.54">https://doi.org/10.4230/LIPICS.ICALP.2026.54</a>.
  ieee: T. M. Chan, H.-C. Chang, J. Gao, S. Kisfaludi-Bak, H. Le, and D. W. Zheng,
    “Charting the landscape of diameter computation on geometric intersection graphs
    in the plane,” in <i>53rd International Colloquium on Automata, Languages, and
    Programming</i>, Egham, United Kingdom, 2026, vol. 374.
  ista: 'Chan TM, Chang H-C, Gao J, Kisfaludi-Bak S, Le H, Zheng DW. 2026. Charting
    the landscape of diameter computation on geometric intersection graphs in the
    plane. 53rd International Colloquium on Automata, Languages, and Programming.
    ICALP: Automata, Languages and Programming vol. 374, 54:1-54:22.'
  mla: Chan, Timothy M., et al. “Charting the Landscape of Diameter Computation on
    Geometric Intersection Graphs in the Plane.” <i>53rd International Colloquium
    on Automata, Languages, and Programming</i>, vol. 374, 54:1-54:22, Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2026, doi:<a href="https://doi.org/10.4230/LIPICS.ICALP.2026.54">10.4230/LIPICS.ICALP.2026.54</a>.
  short: T.M. Chan, H.-C. Chang, J. Gao, S. Kisfaludi-Bak, H. Le, D.W. Zheng, in:,
    53rd International Colloquium on Automata, Languages, and Programming, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2026.
conference:
  end_date: 2026-07-10
  location: Egham, United Kingdom
  name: 'ICALP: Automata, Languages and Programming'
  start_date: 2026-07-07
corr_author: '1'
das_tickbox: '0'
date_created: 2026-07-27T05:53:08Z
date_published: 2026-07-01T00:00:00Z
date_updated: 2026-08-12T09:03:26Z
day: '01'
ddc:
- '000'
department:
- _id: MoHe
doi: 10.4230/LIPICS.ICALP.2026.54
external_id:
  arxiv:
  - '2605.10692'
file:
- access_level: open_access
  checksum: 1e66eba4cfe4e74ab28108b1ca0bb956
  content_type: application/pdf
  creator: dernst
  date_created: 2026-07-27T06:20:41Z
  date_updated: 2026-07-27T06:20:41Z
  file_id: '22407'
  file_name: 2026_LIPIcSICALP_Chan.pdf
  file_size: 1440497
  relation: main_file
  success: 1
file_date_updated: 2026-07-27T06:20:41Z
has_accepted_license: '1'
intvolume: '       374'
keyword:
- String graphs
- Fine-grained complexity
- Theory of computation → Computational geometry
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: bda196b2-d553-11ed-ba76-8e8ee6c21103
  grant_number: I05982
  name: Static and Dynamic Hierarchical Graph Decompositions
publication: 53rd International Colloquium on Automata, Languages, and Programming
publication_identifier:
  eissn:
  - 1868-8969
  - '9783959774284'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Charting the landscape of diameter computation on geometric intersection graphs
  in the plane
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 374
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
_id: '10045'
abstract:
- lang: eng
  text: "Given a fixed finite metric space (V,μ), the {\\em minimum 0-extension problem},
    denoted as 0-Ext[μ], is equivalent to the following optimization problem: minimize
    function of the form minx∈Vn∑ifi(xi)+∑ijcijμ(xi,xj) where cij,cvi are given nonnegative
    costs and fi:V→R are functions given by fi(xi)=∑v∈Vcviμ(xi,v). The computational
    complexity of 0-Ext[μ] has been recently established by Karzanov and by Hirai:
    if metric μ is {\\em orientable modular} then 0-Ext[μ] can be solved in polynomial
    time, otherwise 0-Ext[μ] is NP-hard. To prove the tractability part, Hirai developed
    a theory of discrete convex functions on orientable modular graphs generalizing
    several known classes of functions in discrete convex analysis, such as L♮-convex
    functions. We consider a more general version of the problem in which unary functions
    fi(xi) can additionally have terms of the form cuv;iμ(xi,{u,v}) for {u,v}∈F, where
    set F⊆(V2) is fixed. We extend the complexity classification above by providing
    an explicit condition on (μ,F) for the problem to be tractable. In order to prove
    the tractability part, we generalize Hirai's theory and define a larger class
    of discrete convex functions. It covers, in particular, another well-known class
    of functions, namely submodular functions on an integer lattice. Finally, we improve
    the complexity of Hirai's algorithm for solving 0-Ext on orientable modular graphs.\r\n"
acknowledgement: We thank the anonymous reviewers for their careful reading of our
  manuscript and their many insightful comments and suggestions. Open access funding
  provided by Institute of Science and Technology (IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Martin
  full_name: Dvorak, Martin
  id: 40ED02A8-C8B4-11E9-A9C0-453BE6697425
  last_name: Dvorak
  orcid: 0000-0001-5293-214X
- first_name: Vladimir
  full_name: Kolmogorov, Vladimir
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
citation:
  ama: Dvorak M, Kolmogorov V. Generalized minimum 0-extension problem and discrete
    convexity. <i>Mathematical Programming</i>. 2025;209:279-322. doi:<a href="https://doi.org/10.1007/s10107-024-02064-5">10.1007/s10107-024-02064-5</a>
  apa: Dvorak, M., &#38; Kolmogorov, V. (2025). Generalized minimum 0-extension problem
    and discrete convexity. <i>Mathematical Programming</i>. Springer Nature. <a href="https://doi.org/10.1007/s10107-024-02064-5">https://doi.org/10.1007/s10107-024-02064-5</a>
  chicago: Dvorak, Martin, and Vladimir Kolmogorov. “Generalized Minimum 0-Extension
    Problem and Discrete Convexity.” <i>Mathematical Programming</i>. Springer Nature,
    2025. <a href="https://doi.org/10.1007/s10107-024-02064-5">https://doi.org/10.1007/s10107-024-02064-5</a>.
  ieee: M. Dvorak and V. Kolmogorov, “Generalized minimum 0-extension problem and
    discrete convexity,” <i>Mathematical Programming</i>, vol. 209. Springer Nature,
    pp. 279–322, 2025.
  ista: Dvorak M, Kolmogorov V. 2025. Generalized minimum 0-extension problem and
    discrete convexity. Mathematical Programming. 209, 279–322.
  mla: Dvorak, Martin, and Vladimir Kolmogorov. “Generalized Minimum 0-Extension Problem
    and Discrete Convexity.” <i>Mathematical Programming</i>, vol. 209, Springer Nature,
    2025, pp. 279–322, doi:<a href="https://doi.org/10.1007/s10107-024-02064-5">10.1007/s10107-024-02064-5</a>.
  short: M. Dvorak, V. Kolmogorov, Mathematical Programming 209 (2025) 279–322.
corr_author: '1'
date_created: 2021-09-27T10:48:23Z
date_published: 2025-01-01T00:00:00Z
date_updated: 2025-05-19T13:52:10Z
day: '01'
ddc:
- '004'
department:
- _id: GradSch
- _id: VlKo
doi: 10.1007/s10107-024-02064-5
external_id:
  arxiv:
  - '2109.10203'
  isi:
  - '001176563300001'
file:
- access_level: open_access
  checksum: 25d9bd490719b45eca84f4d93a06c69f
  content_type: application/pdf
  creator: dernst
  date_created: 2025-04-16T09:36:08Z
  date_updated: 2025-04-16T09:36:08Z
  file_id: '19578'
  file_name: 2025_MathProgramming_Dvorak.pdf
  file_size: 839510
  relation: main_file
  success: 1
file_date_updated: 2025-04-16T09:36:08Z
has_accepted_license: '1'
intvolume: '       209'
isi: 1
keyword:
- minimum 0-extension problem
- metric labeling problem
- discrete metric spaces
- metric extensions
- computational complexity
- valued constraint satisfaction problems
- discrete convex analysis
- L-convex functions
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 279-322
publication: Mathematical Programming
publication_identifier:
  eissn:
  - 1436-4646
  issn:
  - 0025-5610
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Generalized minimum 0-extension problem and discrete convexity
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 209
year: '2025'
...
---
_id: '22373'
abstract:
- lang: eng
  text: "Data dissemination is a fundamental task in distributed computing. This paper
    studies broadcast problems in various innovative models where the communication
    network connecting n processes is dynamic (e.g., due to mobility or failures)
    and controlled by an adversary. \r\nIn the first model, the processes transitively
    communicate their ids in synchronous rounds along a rooted tree given in each
    round by the adversary whose goal is to maximize the number of rounds until at
    least one id is known by all processes. Previous research has shown a ⌈(3n-1)/2⌉-2
    lower bound and an O(nlog log n) upper bound. We show the first linear upper bound
    for this problem, namely ⌈(1+√2) n-1⌉ ≈ 2.4n.\r\nWe extend these results to the
    setting where the adversary gives in each round k-disjoint forests and their goal
    is to maximize the number of rounds until there is a set of k ids such that each
    process knows of at least one of them. We give a ⌈3(n-k)/2⌉-1 lower bound and
    a (π²+6)/6 n+1 ≈ 2.6n upper bound for this problem.\r\nFinally, we study the setting
    where the adversary gives in each round a directed graph with k roots and their
    goal is to maximize the number of rounds until there exist k ids that are known
    by all processes. We give a ⌈3(n-3k)/2⌉+2 lower bound and a ⌈(1+√2)n⌉+k-1 ≈ 2.4n+k
    upper bound for this problem.\r\nFor the two latter problems no upper or lower
    bounds were previously known."
acknowledgement: " This project has received funding from the European Research Council
  (ERC) under\r\nthe European Union’s Horizon 2020 research and innovation programme
  (grant agreement No.\r\n101019564). This work was further supported by the Austrian
  Science Fund (FWF) and netIDEE\r\nSCIENCE project P 33775-N, as well as the FWF
  project I 4800-N (ADVISE)"
alternative_title:
- LIPIcs
article_number: '47'
article_processing_charge: No
arxiv: 1
author:
- first_name: Antoine
  full_name: El-Hayek, Antoine
  id: 888a098e-fcac-11ee-aff7-d347be57b725
  last_name: El-Hayek
  orcid: 0000-0003-4268-7368
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Stefan
  full_name: Schmid, Stefan
  last_name: Schmid
  orcid: 0000-0002-7798-1711
citation:
  ama: 'El-Hayek A, Henzinger M, Schmid S. Asymptotically tight bounds on the time
    complexity of broadcast and its variants in dynamic networks. In: Tauman Kalai
    Y, ed. <i>14th Innovations in Theoretical Computer Science Conference</i>. Vol
    251. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2023. doi:<a href="https://doi.org/10.4230/LIPICS.ITCS.2023.47">10.4230/LIPICS.ITCS.2023.47</a>'
  apa: 'El-Hayek, A., Henzinger, M., &#38; Schmid, S. (2023). Asymptotically tight
    bounds on the time complexity of broadcast and its variants in dynamic networks.
    In Y. Tauman Kalai (Ed.), <i>14th Innovations in Theoretical Computer Science
    Conference</i> (Vol. 251). Cambridge, Massachusetts, USA: Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik. <a href="https://doi.org/10.4230/LIPICS.ITCS.2023.47">https://doi.org/10.4230/LIPICS.ITCS.2023.47</a>'
  chicago: El-Hayek, Antoine, Monika Henzinger, and Stefan Schmid. “Asymptotically
    Tight Bounds on the Time Complexity of Broadcast and Its Variants in Dynamic Networks.”
    In <i>14th Innovations in Theoretical Computer Science Conference</i>, edited
    by Yael Tauman Kalai, Vol. 251. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2023. <a href="https://doi.org/10.4230/LIPICS.ITCS.2023.47">https://doi.org/10.4230/LIPICS.ITCS.2023.47</a>.
  ieee: A. El-Hayek, M. Henzinger, and S. Schmid, “Asymptotically tight bounds on
    the time complexity of broadcast and its variants in dynamic networks,” in <i>14th
    Innovations in Theoretical Computer Science Conference</i>, Cambridge, Massachusetts,
    USA, 2023, vol. 251.
  ista: 'El-Hayek A, Henzinger M, Schmid S. 2023. Asymptotically tight bounds on the
    time complexity of broadcast and its variants in dynamic networks. 14th Innovations
    in Theoretical Computer Science Conference. ITCS: Innovations in Theoretical Computer
    Science, LIPIcs, vol. 251, 47.'
  mla: El-Hayek, Antoine, et al. “Asymptotically Tight Bounds on the Time Complexity
    of Broadcast and Its Variants in Dynamic Networks.” <i>14th Innovations in Theoretical
    Computer Science Conference</i>, edited by Yael Tauman Kalai, vol. 251, 47, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2023, doi:<a href="https://doi.org/10.4230/LIPICS.ITCS.2023.47">10.4230/LIPICS.ITCS.2023.47</a>.
  short: A. El-Hayek, M. Henzinger, S. Schmid, in:, Y. Tauman Kalai (Ed.), 14th Innovations
    in Theoretical Computer Science Conference, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2023.
conference:
  end_date: 2023-01-13
  location: Cambridge, Massachusetts, USA
  name: 'ITCS: Innovations in Theoretical Computer Science'
  start_date: 2023-01-10
date_created: 2026-07-20T11:45:04Z
date_published: 2023-02-01T00:00:00Z
date_updated: 2026-07-24T12:48:29Z
day: '01'
ddc:
- '000'
doi: 10.4230/LIPICS.ITCS.2023.47
editor:
- first_name: Yael
  full_name: Tauman Kalai, Yael
  last_name: Tauman Kalai
extern: '1'
external_id:
  arxiv:
  - '2211.10151'
file:
- access_level: open_access
  checksum: d7f45fdcbc5fccd61db69f56d775c636
  content_type: application/pdf
  creator: cchlebak
  date_created: 2026-07-22T08:04:03Z
  date_updated: 2026-07-22T08:04:03Z
  file_id: '22383'
  file_name: 2023_LIPIcs_El-Hayek.pdf
  file_size: 1077427
  relation: main_file
  success: 1
file_date_updated: 2026-07-22T08:04:03Z
has_accepted_license: '1'
intvolume: '       251'
keyword:
- broadcast
- cover
- k-broadcast
- dynamic radius
- dynamic graphs
- oblivious message adversary
- time complexity
- Theory of computation → Distributed algorithms
- Networks → Network algorithms
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
publication: 14th Innovations in Theoretical Computer Science Conference
publication_identifier:
  isbn:
  - '9783959772631'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
  record:
  - id: '22281'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Asymptotically tight bounds on the time complexity of broadcast and its variants
  in dynamic networks
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 251
year: '2023'
...
---
_id: '10004'
abstract:
- lang: eng
  text: 'Markov chains are the de facto finite-state model for stochastic dynamical
    systems, and Markov decision processes (MDPs) extend Markov chains by incorporating
    non-deterministic behaviors. Given an MDP and rewards on states, a classical optimization
    criterion is the maximal expected total reward where the MDP stops after T steps,
    which can be computed by a simple dynamic programming algorithm. We consider a
    natural generalization of the problem where the stopping times can be chosen according
    to a probability distribution, such that the expected stopping time is T, to optimize
    the expected total reward. Quite surprisingly we establish inter-reducibility
    of the expected stopping-time problem for Markov chains with the Positivity problem
    (which is related to the well-known Skolem problem), for which establishing either
    decidability or undecidability would be a major breakthrough. Given the hardness
    of the exact problem, we consider the approximate version of the problem: we show
    that it can be solved in exponential time for Markov chains and in exponential
    space for MDPs.'
acknowledgement: We are grateful to the anonymous reviewers of LICS 2021 and of a
  previous version of this paper for insightful comments that helped improving the
  presentation. This research was partially supported by the grant ERC CoG 863818
  (ForM-SMArt).
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: 'Chatterjee K, Doyen L. Stochastic processes with expected stopping time. In:
    <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>.
    IEEE; 2021:1-13. doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470595">10.1109/LICS52264.2021.9470595</a>'
  apa: 'Chatterjee, K., &#38; Doyen, L. (2021). Stochastic processes with expected
    stopping time. In <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i> (pp. 1–13). Rome, Italy: IEEE. <a href="https://doi.org/10.1109/LICS52264.2021.9470595">https://doi.org/10.1109/LICS52264.2021.9470595</a>'
  chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected
    Stopping Time.” In <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i>, 1–13. IEEE, 2021. <a href="https://doi.org/10.1109/LICS52264.2021.9470595">https://doi.org/10.1109/LICS52264.2021.9470595</a>.
  ieee: K. Chatterjee and L. Doyen, “Stochastic processes with expected stopping time,”
    in <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>,
    Rome, Italy, 2021, pp. 1–13.
  ista: 'Chatterjee K, Doyen L. 2021. Stochastic processes with expected stopping
    time. Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science.
    LICS: Logic in Computer Science, 1–13.'
  mla: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected
    Stopping Time.” <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i>, IEEE, 2021, pp. 1–13, doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470595">10.1109/LICS52264.2021.9470595</a>.
  short: K. Chatterjee, L. Doyen, in:, Proceedings of the 36th Annual ACM/IEEE Symposium
    on Logic in Computer Science, IEEE, 2021, pp. 1–13.
conference:
  end_date: 2021-07-02
  location: Rome, Italy
  name: 'LICS: Logic in Computer Science'
  start_date: 2021-06-29
date_created: 2021-09-12T22:01:25Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2026-08-12T06:39:27Z
day: '07'
department:
- _id: KrCh
doi: 10.1109/LICS52264.2021.9470595
ec_funded: 1
external_id:
  arxiv:
  - '2104.07278'
  isi:
  - '000947350400036'
isi: 1
keyword:
- Computer science
- Heuristic algorithms
- Memory management
- Automata
- Markov processes
- Probability distribution
- Complexity theory
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2104.07278
month: '07'
oa: 1
oa_version: Preprint
page: 1-13
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer
  Science
publication_identifier:
  eisbn:
  - 978-1-6654-4895-6
  isbn:
  - 978-1-6654-4896-3
  issn:
  - 1043-6871
publication_status: published
publisher: IEEE
quality_controlled: '1'
related_material:
  record:
  - id: '18630'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Stochastic processes with expected stopping time
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '4317'
article_processing_charge: No
author:
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
citation:
  ama: 'Barton NH. Speciation. In: Myers A, Giller P, eds. <i>Analytical Biogeography:
    An Integrated Approach to the Study of Animal and Plant Distributions</i>. 1st
    ed. Springer; 1988:185-218. doi:<a href="https://doi.org/10.1007/978-94-009-0435-4">10.1007/978-94-009-0435-4</a>'
  apa: 'Barton, N. H. (1988). Speciation. In A. Myers &#38; P. Giller (Eds.), <i>Analytical
    biogeography: An integrated approach to the study of animal and plant distributions</i>
    (1st ed., pp. 185–218). Springer. <a href="https://doi.org/10.1007/978-94-009-0435-4">https://doi.org/10.1007/978-94-009-0435-4</a>'
  chicago: 'Barton, Nicholas H. “Speciation.” In <i>Analytical Biogeography: An Integrated
    Approach to the Study of Animal and Plant Distributions</i>, edited by Alan Myers
    and Paul Giller, 1st ed., 185–218. Springer, 1988. <a href="https://doi.org/10.1007/978-94-009-0435-4">https://doi.org/10.1007/978-94-009-0435-4</a>.'
  ieee: 'N. H. Barton, “Speciation,” in <i>Analytical biogeography: An integrated
    approach to the study of animal and plant distributions</i>, 1st ed., A. Myers
    and P. Giller, Eds. Springer, 1988, pp. 185–218.'
  ista: 'Barton NH. 1988.Speciation. In: Analytical biogeography: An integrated approach
    to the study of animal and plant distributions. , 185–218.'
  mla: 'Barton, Nicholas H. “Speciation.” <i>Analytical Biogeography: An Integrated
    Approach to the Study of Animal and Plant Distributions</i>, edited by Alan Myers
    and Paul Giller, 1st ed., Springer, 1988, pp. 185–218, doi:<a href="https://doi.org/10.1007/978-94-009-0435-4">10.1007/978-94-009-0435-4</a>.'
  short: 'N.H. Barton, in:, A. Myers, P. Giller (Eds.), Analytical Biogeography: An
    Integrated Approach to the Study of Animal and Plant Distributions, 1st ed., Springer,
    1988, pp. 185–218.'
date_created: 2018-12-11T12:08:13Z
date_published: 1988-01-01T00:00:00Z
date_updated: 2022-02-08T09:19:50Z
day: '01'
doi: 10.1007/978-94-009-0435-4
edition: '1'
editor:
- first_name: Alan
  full_name: Myers, Alan
  last_name: Myers
- first_name: Paul
  full_name: Giller, Paul
  last_name: Giller
extern: '1'
keyword:
- biogeography
- biology
- complexity
- distribution
- evolution
- geology
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/book/10.1007/978-94-009-0435-4#toc
month: '01'
oa_version: None
page: 185 - 218
publication: 'Analytical biogeography: An integrated approach to the study of animal
  and plant distributions'
publication_identifier:
  eissn:
  - 978-94-009-0435-4
  isbn:
  - 978-0-412-40050-6
publication_status: published
publisher: Springer
publist_id: '1736'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Speciation
type: book_chapter
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '1988'
...
