{"id":"https://openalex.org/W2160616783","doi":"https://doi.org/10.1142/s1793830912500267","title":"PERFECT MATCHINGS AND GENUS OF SOME CARTESIAN PRODUCTS OF GRAPHS","display_name":"PERFECT MATCHINGS AND GENUS OF SOME CARTESIAN PRODUCTS OF GRAPHS","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2160616783","doi":"https://doi.org/10.1142/s1793830912500267","mag":"2160616783"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830912500267","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830912500267","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5087290705","display_name":"Fenggen Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"FENGGEN LIN","raw_affiliation_strings":["College of Mathematics and Computer Science, Fuzhou University, Fujian 350108, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Fuzhou University, Fujian 350108, China","institution_ids":["https://openalex.org/I80947539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079455278","display_name":"Lianzhu Zhang","orcid":"https://orcid.org/0000-0002-8474-0668"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"LIANZHU ZHANG","raw_affiliation_strings":["School of Mathematical Sciences, Xiamen University, Fujian 361005, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Xiamen University, Fujian 361005, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088902737","display_name":"Fuliang Lu","orcid":"https://orcid.org/0000-0002-5516-1122"},"institutions":[{"id":"https://openalex.org/I15823474","display_name":"Linyi University","ror":"https://ror.org/01knv0402","country_code":"CN","type":"education","lineage":["https://openalex.org/I15823474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"FULIANG LU","raw_affiliation_strings":["School of Science, Linyi University, Shandong 276000, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Linyi University, Shandong 276000, China","institution_ids":["https://openalex.org/I15823474"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087290705"],"corresponding_institution_ids":["https://openalex.org/I80947539"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.15500114,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"04","issue":"02","first_page":"1250026","last_page":"1250026"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9983999729156494,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9977999925613403,"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/cartesian-product","display_name":"Cartesian product","score":0.8270574808120728},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7993983030319214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6858721971511841},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6479983329772949},{"id":"https://openalex.org/keywords/strong-perfect-graph-theorem","display_name":"Strong perfect graph theorem","score":0.576979398727417},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.5749924182891846},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.5316888093948364},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45847323536872864},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3840026259422302},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.30322161316871643},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.19717875123023987},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09241607785224915}],"concepts":[{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.8270574808120728},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7993983030319214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6858721971511841},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6479983329772949},{"id":"https://openalex.org/C51044901","wikidata":"https://www.wikidata.org/wiki/Q16680059","display_name":"Strong perfect graph theorem","level":5,"score":0.576979398727417},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.5749924182891846},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.5316888093948364},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45847323536872864},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3840026259422302},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.30322161316871643},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.19717875123023987},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09241607785224915},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830912500267","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830912500267","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1994726278","https://openalex.org/W1994801650","https://openalex.org/W2039134431","https://openalex.org/W2039699664","https://openalex.org/W2053779020","https://openalex.org/W2064153357","https://openalex.org/W2077319040","https://openalex.org/W2084274653","https://openalex.org/W2099198013","https://openalex.org/W2104871902","https://openalex.org/W2142539704","https://openalex.org/W2944987113"],"related_works":["https://openalex.org/W3030274415","https://openalex.org/W68628300","https://openalex.org/W2521901952","https://openalex.org/W1586239617","https://openalex.org/W2052621607","https://openalex.org/W2439127873","https://openalex.org/W2079887842","https://openalex.org/W2145610052","https://openalex.org/W3215430368","https://openalex.org/W2132199417"],"abstract_inverted_index":{"Lov\u00e1sz":[0,82],"and":[1,17,83],"Plummer":[2],"conjectured":[3],"that:":[4],"for":[5,59],"k":[6,53],"\u2265":[7],"3":[8],"there":[9],"exist":[10],"constants":[11],"c":[12,18,38,47],"1":[13,16,41,48],"(k)":[14,20,42,49],">":[15,21],"2":[19,39],"0":[22],"such":[23],"that":[24,80],"every":[25],"k-regular":[26],"elementary":[27],"graph":[28],"on":[29],"2n":[30],"vertices,":[31],"without":[32],"forbidden":[33],"edges,":[34],"contains":[35],"at":[36],"least":[37],"(k)\u22c5c":[40],"n":[43],"perfect":[44,74],"matchings.":[45],"Furthermore":[46],"\u2192":[50,54],"\u221e":[51],"as":[52],"\u221e.":[55],"In":[56],"this":[57],"paper,":[58],"some":[60,92],"Cartesian":[61,93],"products":[62,94],"of":[63,70,73,81,91,95],"graphs,":[64],"we":[65,87],"obtain":[66],"a":[67],"lower":[68],"bound":[69],"their":[71],"number":[72],"matchings":[75],"which":[76],"is":[77],"similar":[78],"to":[79],"Plummer's":[84],"conjecture.":[85],"Furthermore,":[86],"compute":[88],"the":[89],"genus":[90],"graphs.":[96]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}