{"id":"https://openalex.org/W3216448519","doi":"https://doi.org/10.1051/ro/2024054","title":"The (<i>a, b</i>)-monochromatic transversal game on clique-hypergraphs of powers of cycles","display_name":"The (<i>a, b</i>)-monochromatic transversal game on clique-hypergraphs of powers of cycles","publication_year":2024,"publication_date":"2024-03-01","ids":{"openalex":"https://openalex.org/W3216448519","doi":"https://doi.org/10.1051/ro/2024054","mag":"3216448519"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2024054","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1051/ro/2024054","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2024/02/ro220675.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2024/02/ro220675.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062990731","display_name":"Wilder P. Mendes","orcid":"https://orcid.org/0000-0002-6344-2258"},"institutions":[{"id":"https://openalex.org/I219826191","display_name":"Universidade do Estado de Minas Gerais","ror":"https://ror.org/05c84j393","country_code":"BR","type":"education","lineage":["https://openalex.org/I219826191"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Wilder P. Mendes","raw_affiliation_strings":["DEX, Universidade do Estado de Minas Gerais, Belo Horizonte, Brazil"],"affiliations":[{"raw_affiliation_string":"DEX, Universidade do Estado de Minas Gerais, Belo Horizonte, Brazil","institution_ids":["https://openalex.org/I219826191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036931497","display_name":"Simone Dantas","orcid":"https://orcid.org/0000-0002-8340-4881"},"institutions":[{"id":"https://openalex.org/I161127581","display_name":"Universidade Federal Fluminense","ror":"https://ror.org/02rjhbb08","country_code":"BR","type":"education","lineage":["https://openalex.org/I161127581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Simone Dantas","raw_affiliation_strings":["IME, Universidade Federal Fluminense, Niter\u00f3i, Brazil"],"affiliations":[{"raw_affiliation_string":"IME, Universidade Federal Fluminense, Niter\u00f3i, Brazil","institution_ids":["https://openalex.org/I161127581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059257068","display_name":"Sylvain Gravier","orcid":"https://orcid.org/0000-0003-2859-275X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210113150","display_name":"Laboratoire Interdisciplinaire de Physique","ror":"https://ror.org/023n9q531","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210113150","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210166226","display_name":"Institut Fourier","ror":"https://ror.org/05rwrfh97","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210141950","https://openalex.org/I4210166226","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sylvain Gravier","raw_affiliation_strings":["CNRS, Universit\u00e9 Grenoble Alpes, Saint-Martin-d\u2019H\u00e8res, France","IF - Institut Fourier (100, rue des maths 38610 Gi\u00e8res - France)"],"affiliations":[{"raw_affiliation_string":"CNRS, Universit\u00e9 Grenoble Alpes, Saint-Martin-d\u2019H\u00e8res, France","institution_ids":["https://openalex.org/I4210113150","https://openalex.org/I1294671590","https://openalex.org/I899635006"]},{"raw_affiliation_string":"IF - Institut Fourier (100, rue des maths 38610 Gi\u00e8res - France)","institution_ids":["https://openalex.org/I4210166226"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062990731"],"corresponding_institution_ids":["https://openalex.org/I219826191"],"apc_list":null,"apc_paid":null,"fwci":0.7049,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.68670581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"58","issue":"2","first_page":"1759","last_page":"1770"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9957000017166138,"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":0.9957000017166138,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9908999800682068,"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":0.9878000020980835,"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/transversal","display_name":"Transversal (combinatorics)","score":0.8497620224952698},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.8460410833358765},{"id":"https://openalex.org/keywords/monochromatic-color","display_name":"Monochromatic color","score":0.8161457777023315},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6226199865341187},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.6006267070770264},{"id":"https://openalex.org/keywords/alice-and-bob","display_name":"Alice and Bob","score":0.5340154767036438},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5235047936439514},{"id":"https://openalex.org/keywords/alice","display_name":"Alice (programming language)","score":0.47489896416664124},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4296322166919708},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3679298758506775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29410886764526367},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11798089742660522}],"concepts":[{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.8497620224952698},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8460410833358765},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.8161457777023315},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6226199865341187},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.6006267070770264},{"id":"https://openalex.org/C127964579","wikidata":"https://www.wikidata.org/wiki/Q649676","display_name":"Alice and Bob","level":3,"score":0.5340154767036438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5235047936439514},{"id":"https://openalex.org/C2778222013","wikidata":"https://www.wikidata.org/wiki/Q1136926","display_name":"Alice (programming language)","level":2,"score":0.47489896416664124},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4296322166919708},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3679298758506775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29410886764526367},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11798089742660522},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1051/ro/2024054","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1051/ro/2024054","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2024/02/ro220675.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1051/ro/2024054","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1051/ro/2024054","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2024/02/ro220675.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G116629194","display_name":null,"funder_award_id":"88881","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G1225096374","display_name":null,"funder_award_id":"Finance Code 00","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G146285273","display_name":null,"funder_award_id":"FAPERJ","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G2170742447","display_name":null,"funder_award_id":"PrInt","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G2286822848","display_name":null,"funder_award_id":"2018-0","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G2475848412","display_name":null,"funder_award_id":"Finance Code 001,","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G3331681876","display_name":null,"funder_award_id":"CAPES","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G3883789297","display_name":null,"funder_award_id":"Code 00","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G3938906640","display_name":null,"funder_award_id":"(CAPES)","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G4054502112","display_name":null,"funder_award_id":"8/2018","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G4175758497","display_name":null,"funder_award_id":"CAPES","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"},{"id":"https://openalex.org/G4332196409","display_name":null,"funder_award_id":"Finance_Code_001","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G5139334624","display_name":null,"funder_award_id":"Coordena\u00e7\u00e3o","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G5456659865","display_name":null,"funder_award_id":"2018-01","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G5696276328","display_name":null,"funder_award_id":"Finance","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G6815844370","display_name":null,"funder_award_id":"88881","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G7490553925","display_name":null,"funder_award_id":"Finance Code 001","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"},{"id":"https://openalex.org/G8733947178","display_name":null,"funder_award_id":"2018-0","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G8837013128","display_name":null,"funder_award_id":"Code 0","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G963174003","display_name":null,"funder_award_id":"de Aperfei\u00e7","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"}],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3216448519.pdf","grobid_xml":"https://content.openalex.org/works/W3216448519.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1987622756","https://openalex.org/W2008120342","https://openalex.org/W2016360985","https://openalex.org/W2022194745","https://openalex.org/W2028997713","https://openalex.org/W2042714866","https://openalex.org/W2086357278","https://openalex.org/W2094056956","https://openalex.org/W2094344015","https://openalex.org/W2105765677","https://openalex.org/W2132073309","https://openalex.org/W2176074586","https://openalex.org/W2308662474","https://openalex.org/W2315008457","https://openalex.org/W2342083085","https://openalex.org/W2519921651","https://openalex.org/W2977851886","https://openalex.org/W3194043723","https://openalex.org/W4242601903"],"related_works":["https://openalex.org/W1603162376","https://openalex.org/W2772332644","https://openalex.org/W2914515209","https://openalex.org/W2366416021","https://openalex.org/W1564907238","https://openalex.org/W4234443931","https://openalex.org/W2153126276","https://openalex.org/W2512442007","https://openalex.org/W1570878271","https://openalex.org/W1486064475"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,40,69,90,106,109,117],"(":[3],"a,":[4],"b":[5,26],")-monochromatic":[6],"transversal":[7],"game":[8,14,70,91],"that":[9],"is":[10,36,57],"a":[11,21,31,46,62,74,112],"combinatorial":[12],"Maker\u2013Breaker":[13,78],"where":[15],"Alice":[16,42,58],"and":[17,25,49,99],"Bob":[18,50,67],"alternately":[19],"colour":[20],"vertices":[22,27],"in":[23,28],"red":[24,63],"blue":[29,76],"of":[30,95,97,108],"hypergraph,":[32],"respectively.":[33],"Either":[34],"player":[35,114],"enabled":[37],"to":[38,44,52,82,115],"start":[39],"game.":[41,118],"tries":[43,51],"construct":[45],"hyperedge":[47,64],"transversal,":[48],"prevent":[53],"this.":[54],"The":[55],"winner":[56],"if":[59,71],"she":[60],"obtains":[61,73],"transversal;":[65],"otherwise,":[66],"wins":[68],"he":[72],"monochromatic":[75],"hyperedge.":[77],"games":[79],"were":[80],"determined":[81],"be":[83],"PSPACE-complete.":[84],"In":[85],"this":[86],"work,":[87],"we":[88,100],"analyze":[89],"played":[92],"on":[93,105],"clique-hypergraphs":[94],"powers":[96],"cycles,":[98],"show":[101],"strategies":[102],"that,":[103],"depending":[104],"choice":[107],"parameters,":[110],"allow":[111],"specific":[113],"win":[116]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2021-12-06T00:00:00"}