{"id":"https://openalex.org/W2949871980","doi":"https://doi.org/10.1137/140953708","title":"Walker-Breaker Games","display_name":"Walker-Breaker Games","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2949871980","doi":"https://doi.org/10.1137/140953708","mag":"2949871980"},"language":"en","primary_location":{"id":"doi:10.1137/140953708","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140953708","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/A5031959875","display_name":"Lisa Espig","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lisa Espig","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056950019","display_name":"Alan Frieze","orcid":"https://orcid.org/0000-0002-8481-5615"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alan Frieze","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102759207","display_name":"Michael Krivelevich","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael Krivelevich","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5054318475","display_name":"Wesley Pegden","orcid":"https://orcid.org/0000-0002-3680-1817"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wesley Pegden","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3656,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.74606581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"29","issue":"3","first_page":"1476","last_page":"1485"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10317","display_name":"Advanced Database Systems and Queries","score":0.9767000079154968,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/circuit-breaker","display_name":"Circuit breaker","score":0.7092974185943604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6901654005050659},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5631590485572815},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4602656662464142},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3966609835624695},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10326853394508362},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.08403351902961731}],"concepts":[{"id":"https://openalex.org/C61352017","wikidata":"https://www.wikidata.org/wiki/Q211058","display_name":"Circuit breaker","level":2,"score":0.7092974185943604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6901654005050659},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5631590485572815},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4602656662464142},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3966609835624695},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10326853394508362},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.08403351902961731}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1137/140953708","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140953708","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"},{"id":"pmh:oai:repository.cmu.edu:math-1750","is_oa":false,"landing_page_url":"http://repository.cmu.edu/cgi/viewcontent.cgi?article=1750&context=math","pdf_url":null,"source":{"id":"https://openalex.org/S7407050927","display_name":"KiltHub Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Mathematical Sciences","raw_type":"text"},{"id":"pmh:doi:10.1184/r1/6480212","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal contribution"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.433.3176","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.433.3176","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.tau.ac.il/~krivelev/WalkerBreaker.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.720.9701","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.720.9701","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.cmu.edu/%7Eaf1p/Texfiles/WalkerBreaker.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.728.2917","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.728.2917","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.cmu.edu/%7Ewes/pdfs/WalkerBreaker.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.756.5720","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.756.5720","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1401.5538.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W71466766","https://openalex.org/W1568383619","https://openalex.org/W1600293573","https://openalex.org/W1968695868","https://openalex.org/W1973791212","https://openalex.org/W1997988698","https://openalex.org/W2008120342","https://openalex.org/W2081052144","https://openalex.org/W2111407837"],"related_works":["https://openalex.org/W2186957643","https://openalex.org/W2169296235","https://openalex.org/W4313289174","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2383147444","https://openalex.org/W2160345097","https://openalex.org/W2370462073","https://openalex.org/W2351129194","https://openalex.org/W2369017828"],"abstract_inverted_index":{"We":[0],"introduce":[1],"and":[2],"analyze":[3],"the":[4,30,38],"Walker-Breaker":[5],"game,":[6],"a":[7,20,25],"variant":[8],"of":[9,19,32,37],"Maker-Breaker":[10],"games":[11],"where":[12],"Maker":[13],"is":[14],"constrained":[15],"to":[16],"choose":[17],"edges":[18],"walk":[21],"or":[22],"path":[23],"in":[24],"given":[26],"graph":[27,40],"$G$,":[28],"with":[29],"goal":[31],"visiting":[33],"as":[34,41],"many":[35],"vertices":[36],"underlying":[39],"possible.":[42]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}