---
_id: '512'
abstract:
- lang: eng
text: 'The fixation probability is the probability that a new mutant introduced
in a homogeneous population eventually takes over the entire population. The fixation
probability is a fundamental quantity of natural selection, and known to depend
on the population structure. Amplifiers of natural selection are population structures
which increase the fixation probability of advantageous mutants, as compared to
the baseline case of well-mixed populations. In this work we focus on symmetric
population structures represented as undirected graphs. In the regime of undirected
graphs, the strongest amplifier known has been the Star graph, and the existence
of undirected graphs with stronger amplification properties has remained open
for over a decade. In this work we present the Comet and Comet-swarm families
of undirected graphs. We show that for a range of fitness values of the mutants,
the Comet and Cometswarm graphs have fixation probability strictly larger than
the fixation probability of the Star graph, for fixed population size and at the
limit of large populations, respectively. '
article_number: '82'
article_processing_charge: No
author:
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. Amplification on undirected
population structures: Comets beat stars. Scientific Reports. 2017;7(1).
doi:10.1038/s41598-017-00107-w'
apa: 'Pavlogiannis, A., Tkadlec, J., Chatterjee, K., & Nowak, M. (2017). Amplification
on undirected population structures: Comets beat stars. Scientific Reports.
Nature Publishing Group. https://doi.org/10.1038/s41598-017-00107-w'
chicago: 'Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
Nowak. “Amplification on Undirected Population Structures: Comets Beat Stars.”
Scientific Reports. Nature Publishing Group, 2017. https://doi.org/10.1038/s41598-017-00107-w.'
ieee: 'A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. Nowak, “Amplification
on undirected population structures: Comets beat stars,” Scientific Reports,
vol. 7, no. 1. Nature Publishing Group, 2017.'
ista: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. 2017. Amplification on
undirected population structures: Comets beat stars. Scientific Reports. 7(1),
82.'
mla: 'Pavlogiannis, Andreas, et al. “Amplification on Undirected Population Structures:
Comets Beat Stars.” Scientific Reports, vol. 7, no. 1, 82, Nature Publishing
Group, 2017, doi:10.1038/s41598-017-00107-w.'
short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M. Nowak, Scientific Reports
7 (2017).
date_created: 2018-12-11T11:46:53Z
date_published: 2017-03-06T00:00:00Z
date_updated: 2023-02-23T12:26:57Z
day: '06'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1038/s41598-017-00107-w
ec_funded: 1
file:
- access_level: open_access
checksum: 7d05cbdd914e194a019c0f91fb64e9a8
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:18:35Z
date_updated: 2020-07-14T12:46:36Z
file_id: '5357'
file_name: IST-2018-938-v1+1_2017_Pavlogiannis_Amplification_on.pdf
file_size: 1536783
relation: main_file
file_date_updated: 2020-07-14T12:46:36Z
has_accepted_license: '1'
intvolume: ' 7'
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication: Scientific Reports
publication_identifier:
issn:
- '20452322'
publication_status: published
publisher: Nature Publishing Group
publist_id: '7307'
pubrep_id: '938'
quality_controlled: '1'
related_material:
record:
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relation: earlier_version
status: public
scopus_import: 1
status: public
title: 'Amplification on undirected population structures: Comets beat stars'
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: 7
year: '2017'
...