---
_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
fulldoi: https://doi.org/10.4230/LIPICS.ITCS.2023.47
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'
...
---
OA_type: closed access
_id: '22534'
abstract:
- lang: eng
  text: Tree planting is a prevalent strategy to mitigate urban heat. Tree cooling
    efficiency(TCE), defined as the temperature reduction for a 1% tree cover increase,
    plays animportant role in urban climate as it regulates the capacity of trees
    to alter the sur-face energy and water budget. However, the spatial variation
    and more importantly,temporal heterogeneity of TCE in global cities are not fully
    explored. Here, we usedLandsat-based tree cover and land surface temperature (LST)
    to compare TCEs at areference air temperature and tree cover level across 806
    global cities and to exploretheir potential drivers with a boosted regression
    tree (BRT) machine learning model.From the results, we found that TCE is spatially
    regulated by not only leaf area index(LAI) but climate variables and anthropogenic
    factors especially city albedo, withouta specific variable dominating the others.
    However, such spatial difference is attenu-ated by the decrease of TCE with tree
    cover, most pronounced in midlatitude cities.During the period 2000–2015, more
    than 90% of analyzed cities showed an increas-ing trend in TCE, which is likely
    explained by a combined result of the increase in LAI,intensified solar radiation
    due to decreased aerosol content, increase in urban vaporpressure deficit (VPD)
    and decrease of city albedo. Concurrently, significant urbanafforestation occurred
    across many cities showing a global city-scale mean tree coverincrease of 5.3
    ± 3.8% from 2000 to 2015. Over the growing season, such increasescombined with
    an increasing TCE were estimated to on average yield a midday sur-face cooling
    of 1.5 ± 1.3°C in tree-covered urban areas. These results are offeringnew insights
    into the use of urban afforestation as an adaptation to global warmingand urban
    planners may leverage them to provide more cooling benefits if trees areprimarily
    planted for this purpose.
article_processing_charge: No
article_type: original
author:
- first_name: Jiacheng
  full_name: Zhao, Jiacheng
  last_name: Zhao
- first_name: Xiang
  full_name: Zhao, Xiang
  last_name: Zhao
- first_name: Donghai
  full_name: Wu, Donghai
  last_name: Wu
- first_name: Naika
  full_name: Meili, Naika
  last_name: Meili
- first_name: Simone
  full_name: Fatichi, Simone
  id: cf8e546b-a9b0-11f0-a43b-aa89ed1b56d6
  last_name: Fatichi
citation:
  ama: Zhao J, Zhao X, Wu D, Meili N, Fatichi S. Satellite‐based evidence highlights
    a considerable increase of urban tree cooling benefits from 2000 to 2015. <i>Global
    Change Biology</i>. 2023;29(11):3085-3097. doi:<a href="https://doi.org/10.1111/gcb.16667">10.1111/gcb.16667</a>
  apa: Zhao, J., Zhao, X., Wu, D., Meili, N., &#38; Fatichi, S. (2023). Satellite‐based
    evidence highlights a considerable increase of urban tree cooling benefits from
    2000 to 2015. <i>Global Change Biology</i>. Wiley. <a href="https://doi.org/10.1111/gcb.16667">https://doi.org/10.1111/gcb.16667</a>
  chicago: Zhao, Jiacheng, Xiang Zhao, Donghai Wu, Naika Meili, and Simone Fatichi.
    “Satellite‐based Evidence Highlights a Considerable Increase of Urban Tree Cooling
    Benefits from 2000 to 2015.” <i>Global Change Biology</i>. Wiley, 2023. <a href="https://doi.org/10.1111/gcb.16667">https://doi.org/10.1111/gcb.16667</a>.
  ieee: J. Zhao, X. Zhao, D. Wu, N. Meili, and S. Fatichi, “Satellite‐based evidence
    highlights a considerable increase of urban tree cooling benefits from 2000 to
    2015,” <i>Global Change Biology</i>, vol. 29, no. 11. Wiley, pp. 3085–3097, 2023.
  ista: Zhao J, Zhao X, Wu D, Meili N, Fatichi S. 2023. Satellite‐based evidence highlights
    a considerable increase of urban tree cooling benefits from 2000 to 2015. Global
    Change Biology. 29(11), 3085–3097.
  mla: Zhao, Jiacheng, et al. “Satellite‐based Evidence Highlights a Considerable
    Increase of Urban Tree Cooling Benefits from 2000 to 2015.” <i>Global Change Biology</i>,
    vol. 29, no. 11, Wiley, 2023, pp. 3085–97, doi:<a href="https://doi.org/10.1111/gcb.16667">10.1111/gcb.16667</a>.
  short: J. Zhao, X. Zhao, D. Wu, N. Meili, S. Fatichi, Global Change Biology 29 (2023)
    3085–3097.
das_tickbox: '1'
date_created: 2026-07-27T12:30:24Z
date_published: 2023-06-01T00:00:00Z
date_updated: 2026-08-12T08:28:41Z
day: '01'
doi: 10.1111/gcb.16667
extern: '1'
external_id:
  pmid:
  - '36876991 '
fulldoi: https://doi.org/10.1111/gcb.16667
intvolume: '        29'
issue: '11'
keyword:
- Climate change
- Remote sensing
- Tree cooling efficiency
- Tree cover
- Urban afforestation
language:
- iso: eng
month: '06'
oa_version: None
page: 3085-3097
pmid: 1
publication: Global Change Biology
publication_identifier:
  eissn:
  - 1365-2486
  issn:
  - 1354-1013
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Satellite‐based evidence highlights a considerable increase of urban tree cooling
  benefits from 2000 to 2015
type: journal_article
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 29
year: '2023'
...
---
_id: '11675'
abstract:
- lang: eng
  text: 'We consider the problems of maintaining an approximate maximum matching and
    an approximate minimum vertex cover in a dynamic graph undergoing a sequence of
    edge insertions/deletions. Starting with the seminal work of Onak and Rubinfeld
    (in: Proceedings of the ACM symposium on theory of computing (STOC), 2010), this
    problem has received significant attention in recent years. Very recently, extending
    the framework of Baswana et al. (in: Proceedings of the IEEE symposium on foundations
    of computer science (FOCS), 2011) , Solomon (in: Proceedings of the IEEE symposium
    on foundations of computer science (FOCS), 2016) gave a randomized dynamic algorithm
    for this problem that has an approximation ratio of 2 and an amortized update
    time of O(1) with high probability. This algorithm requires the assumption of
    an oblivious adversary, meaning that the future sequence of edge insertions/deletions
    in the graph cannot depend in any way on the algorithm’s past output. A natural
    way to remove the assumption on oblivious adversary is to give a deterministic
    dynamic algorithm for the same problem in O(1) update time. In this paper, we
    resolve this question. We present a new deterministic fully dynamic algorithm
    that maintains a O(1)-approximate minimum vertex cover and maximum fractional
    matching, with an amortized update time of O(1). Previously, the best deterministic
    algorithm for this problem was due to Bhattacharya et al. (in: Proceedings of
    the ACM-SIAM symposium on discrete algorithms (SODA), 2015); it had an approximation
    ratio of (2+ε) and an amortized update time of O(logn/ε2). Our result can be generalized
    to give a fully dynamic O(f3)-approximate algorithm with O(f2) amortized update
    time for the hypergraph vertex cover and fractional hypergraph matching problem,
    where every hyperedge has at most f vertices.'
article_processing_charge: No
article_type: original
author:
- first_name: Sayan
  full_name: Bhattacharya, Sayan
  last_name: Bhattacharya
- first_name: Deeparnab
  full_name: Chakrabarty, Deeparnab
  last_name: Chakrabarty
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
citation:
  ama: Bhattacharya S, Chakrabarty D, Henzinger M. Deterministic dynamic matching
    in O(1) update time. <i>Algorithmica</i>. 2020;82(4):1057-1080. doi:<a href="https://doi.org/10.1007/s00453-019-00630-4">10.1007/s00453-019-00630-4</a>
  apa: Bhattacharya, S., Chakrabarty, D., &#38; Henzinger, M. (2020). Deterministic
    dynamic matching in O(1) update time. <i>Algorithmica</i>. Springer Nature. <a
    href="https://doi.org/10.1007/s00453-019-00630-4">https://doi.org/10.1007/s00453-019-00630-4</a>
  chicago: Bhattacharya, Sayan, Deeparnab Chakrabarty, and Monika Henzinger. “Deterministic
    Dynamic Matching in O(1) Update Time.” <i>Algorithmica</i>. Springer Nature, 2020.
    <a href="https://doi.org/10.1007/s00453-019-00630-4">https://doi.org/10.1007/s00453-019-00630-4</a>.
  ieee: S. Bhattacharya, D. Chakrabarty, and M. Henzinger, “Deterministic dynamic
    matching in O(1) update time,” <i>Algorithmica</i>, vol. 82, no. 4. Springer Nature,
    pp. 1057–1080, 2020.
  ista: Bhattacharya S, Chakrabarty D, Henzinger M. 2020. Deterministic dynamic matching
    in O(1) update time. Algorithmica. 82(4), 1057–1080.
  mla: Bhattacharya, Sayan, et al. “Deterministic Dynamic Matching in O(1) Update
    Time.” <i>Algorithmica</i>, vol. 82, no. 4, Springer Nature, 2020, pp. 1057–80,
    doi:<a href="https://doi.org/10.1007/s00453-019-00630-4">10.1007/s00453-019-00630-4</a>.
  short: S. Bhattacharya, D. Chakrabarty, M. Henzinger, Algorithmica 82 (2020) 1057–1080.
date_created: 2022-07-27T14:31:06Z
date_published: 2020-04-01T00:00:00Z
date_updated: 2024-11-06T12:07:43Z
day: '01'
doi: 10.1007/s00453-019-00630-4
extern: '1'
fulldoi: https://doi.org/10.1007/s00453-019-00630-4
intvolume: '        82'
issue: '4'
keyword:
- Dynamic algorithms
- Data structures
- Graph algorithms
- Matching
- Vertex cover
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1007/s00453-019-00630-4
month: '04'
oa: 1
oa_version: Published Version
page: 1057-1080
publication: Algorithmica
publication_identifier:
  eissn:
  - 1432-0541
  issn:
  - 0178-4617
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Deterministic dynamic matching in O(1) update time
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 82
year: '2020'
...
