{"id":"https://openalex.org/W2074319892","doi":"https://doi.org/10.1002/(sici)1097-0118(199601)21:1<21::aid-jgt3>3.0.co;2-o","title":"Vertex transversals that dominate","display_name":"Vertex transversals that dominate","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2074319892","doi":"https://doi.org/10.1002/(sici)1097-0118(199601)21:1<21::aid-jgt3>3.0.co;2-o","mag":"2074319892"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(199601)21:1<21::aid-jgt3>3.0.co;2-o","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199601)21:1<21::aid-jgt3>3.0.co;2-o","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5083469386","display_name":"Noga Alon","orcid":"https://orcid.org/0000-0003-1332-4883"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Noga Alon","raw_affiliation_strings":["Department of Mathematics, Raymond and Beverly Sacker, Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel","Tel-Aviv  University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Raymond and Beverly Sacker, Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel-Aviv  University","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054676766","display_name":"Michael R. Fellows","orcid":"https://orcid.org/0000-0002-6148-9212"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michael R. Fellows","raw_affiliation_strings":["Department of Computer Science, University of Victoria, Victoria, British Columbia, V8W 3P6, Canada","University of Victoria, BC"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Victoria, Victoria, British Columbia, V8W 3P6, Canada","institution_ids":["https://openalex.org/I212119943"]},{"raw_affiliation_string":"University of Victoria, BC","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031697145","display_name":"Donovan R. Hare","orcid":"https://orcid.org/0000-0002-3426-4413"},"institutions":[{"id":"https://openalex.org/I822440","display_name":"Okanagan University College","ror":"https://ror.org/02mxmh518","country_code":"CA","type":"education","lineage":["https://openalex.org/I822440"]},{"id":"https://openalex.org/I198387804","display_name":"Okanagan College","ror":"https://ror.org/04k2ezm16","country_code":"CA","type":"education","lineage":["https://openalex.org/I198387804"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Donovan R. Hare","raw_affiliation_strings":["Department of Mathematics, Okanagan University College, 3333 College Way, Kelowna, British Columbia V1V 1V7, Canada","Okanagan University College"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Okanagan University College, 3333 College Way, Kelowna, British Columbia V1V 1V7, Canada","institution_ids":["https://openalex.org/I822440"]},{"raw_affiliation_string":"Okanagan University College","institution_ids":["https://openalex.org/I822440","https://openalex.org/I198387804"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083469386"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.20421532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"21","issue":"1","first_page":"21","last_page":"31"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.820071280002594},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8199754357337952},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6551565527915955},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6511408686637878},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.5910698771476746},{"id":"https://openalex.org/keywords/transversal","display_name":"Transversal (combinatorics)","score":0.5254948735237122},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47027522325515747},{"id":"https://openalex.org/keywords/frequency-partition-of-a-graph","display_name":"Frequency partition of a graph","score":0.4394316077232361},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4373651146888733},{"id":"https://openalex.org/keywords/graph-partition","display_name":"Graph partition","score":0.4230392277240753},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.1533178985118866},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.14611369371414185}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.820071280002594},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8199754357337952},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6551565527915955},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6511408686637878},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.5910698771476746},{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.5254948735237122},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47027522325515747},{"id":"https://openalex.org/C178744013","wikidata":"https://www.wikidata.org/wiki/Q5502876","display_name":"Frequency partition of a graph","level":5,"score":0.4394316077232361},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4373651146888733},{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.4230392277240753},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.1533178985118866},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.14611369371414185},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0118(199601)21:1<21::aid-jgt3>3.0.co;2-o","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199601)21:1<21::aid-jgt3>3.0.co;2-o","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1510730180","https://openalex.org/W2068871408","https://openalex.org/W2069550402","https://openalex.org/W2905110430"],"related_works":["https://openalex.org/W4296239731","https://openalex.org/W3126456153","https://openalex.org/W2346086679","https://openalex.org/W1982865350","https://openalex.org/W3183075326","https://openalex.org/W4300494273","https://openalex.org/W2615015219","https://openalex.org/W3012931947","https://openalex.org/W2583811263","https://openalex.org/W2035944803"],"abstract_inverted_index":{"For":[0],"any":[1,12],"graph,":[2],"there":[3,29],"is":[4,30,36,58,63,82,89,105],"a":[5,37,74,79,86,90],"largest":[6],"integer":[7],"k":[8,21],"such":[9],"that":[10,35,60,71],"given":[11,75],"partition":[13,34,50,77],"of":[14,26,32,95],"the":[15,27,33,41,49,66],"vertex":[16,76],"set":[17,39],"with":[18],"at":[19],"most":[20],"elements":[22],"in":[23,40,99,102],"each":[24],"class":[25],"partition,":[28],"transversal":[31,81],"dominating":[38,80,97],"graph.":[42],"Some":[43],"basic":[44],"results":[45],"about":[46],"this":[47],"parameter,":[48],"domination":[51],"number,":[52],"are":[53],"obtained.":[54],"In":[55],"particular,":[56],"it":[57],"shown":[59],"its":[61],"value":[62],"2":[64],"for":[65,85],"two-dimensional":[67],"infinite":[68],"grid,":[69],"and":[70],"determining":[72],"whether":[73],"admits":[78],"NP-complete,":[83],"even":[84],"graph":[87],"which":[88],"simple":[91],"path.":[92],"The":[93],"existence":[94],"various":[96],"transversals":[98],"certain":[100],"partitions":[101],"regular":[103],"graphs":[104],"studied":[106],"as":[107],"well.":[108],"\u00a9":[109],"1996":[110],"John":[111],"Wiley":[112],"&":[113],"Sons,":[114],"Inc.":[115]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
