{"id":"https://openalex.org/W4392165778","doi":"https://doi.org/10.1137/23m1549912","title":"Cops and Robbers on \\(\\boldsymbol{P_5}\\)-Free Graphs","display_name":"Cops and Robbers on \\(\\boldsymbol{P_5}\\)-Free Graphs","publication_year":2024,"publication_date":"2024-02-26","ids":{"openalex":"https://openalex.org/W4392165778","doi":"https://doi.org/10.1137/23m1549912"},"language":"en","primary_location":{"id":"doi:10.1137/23m1549912","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1549912","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028345325","display_name":"Maria Chudnovsky","orcid":"https://orcid.org/0000-0002-8920-4944"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Maria Chudnovsky","raw_affiliation_strings":["Princeton University, Princeton, NJ 08544 USA"],"raw_orcid":"https://orcid.org/0000-0002-8920-4944","affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ 08544 USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031639997","display_name":"Sergey Norin","orcid":"https://orcid.org/0000-0003-4833-7983"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sergey Norin","raw_affiliation_strings":["Department of Mathematics and Statistics, McGill University, Montr\u00e9al H3A 0B9, QC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, McGill University, Montr\u00e9al H3A 0B9, QC, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031948088","display_name":"Paul Seymour","orcid":"https://orcid.org/0000-0003-0067-4534"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul D. Seymour","raw_affiliation_strings":["Princeton University, Princeton, NJ 08544 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ 08544 USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070239094","display_name":"J\u00e9r\u00e9mie Turcotte","orcid":"https://orcid.org/0000-0002-4555-8425"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J\u00e9r\u00e9mie Turcotte","raw_affiliation_strings":["Department of Mathematics and Statistics, McGill University, Montr\u00e9al H3A 0B9, QC, Canada"],"raw_orcid":"https://orcid.org/0000-0002-4555-8425","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, McGill University, Montr\u00e9al H3A 0B9, QC, Canada","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8647,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73503847,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"38","issue":"1","first_page":"845","last_page":"856"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8382961750030518},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.701909065246582},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43433642387390137}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8382961750030518},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.701909065246582},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43433642387390137}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1549912","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1549912","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5699999928474426,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2146822515","display_name":null,"funder_award_id":"DMS-2154169","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3121675041","display_name":null,"funder_award_id":"DMS-2120644","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4944458539","display_name":null,"funder_award_id":"FA9550-22-1-0083","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7461889428","display_name":null,"funder_award_id":"FA9550-22-1-0234","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1981159511","https://openalex.org/W1996456693","https://openalex.org/W2007044730","https://openalex.org/W2028400828","https://openalex.org/W2046635105","https://openalex.org/W2109300296","https://openalex.org/W2282776087","https://openalex.org/W2941828091","https://openalex.org/W3035268094","https://openalex.org/W3039255631","https://openalex.org/W3204834387","https://openalex.org/W3213717133","https://openalex.org/W4238591275","https://openalex.org/W4297477857"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{".We":[0],"prove":[1,25],"that":[2,26,53],"every":[3,27,54],"connected":[4,28],"\\(P_5\\)-free":[5,29],"graph":[6,30],"has":[7],"cop":[8],"number":[9,34],"at":[10,35],"most":[11],"two,":[12],"solving":[13],"a":[14,39],"conjecture":[15],"of":[16,56,63],"Sivaraman.":[17],"In":[18],"order":[19],"to":[20,61],"do":[21],"so,":[22],"we":[23],"first":[24],"\\(G\\)":[31],"with":[32,43],"independence":[33],"least":[36],"three":[37],"contains":[38],"three-vertex":[40],"induced":[41,68],"path":[42],"vertices":[44],"\\(a":[45],"\\hbox{-}":[46,48],"b":[47],"c\\)":[49],"in":[50],"order,":[51],"such":[52],"neighbor":[55],"\\(c\\)":[57],"is":[58],"also":[59],"adjacent":[60],"one":[62],"\\(a,b\\).Keywordscops":[64],"and":[65],"robberscop":[66],"numberforbidden":[67],"subgraph\\(P_5\\)-free":[69],"graphMSC":[70],"codes05C57":[71]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}