{"id":"https://openalex.org/W2919307380","doi":"https://doi.org/10.1137/18m1185296","title":"Disjoint Odd Cycles in Cubic Solid Bricks","display_name":"Disjoint Odd Cycles in Cubic Solid Bricks","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2919307380","doi":"https://doi.org/10.1137/18m1185296","mag":"2919307380"},"language":"en","primary_location":{"id":"doi:10.1137/18m1185296","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1185296","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/A5042737832","display_name":"Guantao Chen","orcid":"https://orcid.org/0000-0002-3118-6632"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Guantao Chen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107070732","display_name":"Xing Feng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xing Feng","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088902737","display_name":"Fuliang Lu","orcid":"https://orcid.org/0000-0002-5516-1122"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fuliang Lu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5079455278","display_name":"Lianzhu Zhang","orcid":"https://orcid.org/0000-0002-8474-0668"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lianzhu Zhang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5042737832"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.388,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61192996,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"33","issue":"1","first_page":"393","last_page":"397"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9987000226974487,"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":0.9987000226974487,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9954000115394592,"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"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.8340266346931458},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6321240663528442},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.614581286907196},{"id":"https://openalex.org/keywords/cubic-graph","display_name":"Cubic graph","score":0.5825816988945007},{"id":"https://openalex.org/keywords/cubic-crystal-system","display_name":"Cubic crystal system","score":0.48941126465797424},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40294355154037476},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08869209885597229},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.08360475301742554}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.8340266346931458},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6321240663528442},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.614581286907196},{"id":"https://openalex.org/C100500283","wikidata":"https://www.wikidata.org/wiki/Q1374495","display_name":"Cubic graph","level":5,"score":0.5825816988945007},{"id":"https://openalex.org/C24444364","wikidata":"https://www.wikidata.org/wiki/Q473227","display_name":"Cubic crystal system","level":2,"score":0.48941126465797424},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40294355154037476},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08869209885597229},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.08360475301742554},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/18m1185296","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1185296","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7599999904632568}],"awards":[{"id":"https://openalex.org/G327738686","display_name":null,"funder_award_id":"11671186","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3518041504","display_name":null,"funder_award_id":"11471273","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3971321453","display_name":null,"funder_award_id":"ZR2013LA007","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1987796198","https://openalex.org/W1998621342","https://openalex.org/W2087601207","https://openalex.org/W2094202793","https://openalex.org/W2153548489","https://openalex.org/W2335389215","https://openalex.org/W2569165198","https://openalex.org/W2782382376","https://openalex.org/W2799004609","https://openalex.org/W2962892132"],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W4256429076","https://openalex.org/W2012063272","https://openalex.org/W2348092930","https://openalex.org/W2138685729","https://openalex.org/W2062850566","https://openalex.org/W1553466895","https://openalex.org/W4292291891","https://openalex.org/W2037002007"],"abstract_inverted_index":{"Carvalho,":[0],"Lucchesi,":[1],"and":[2,23,32,42],"Murty":[3],"[J.":[4],"Combin.":[5],"Theory":[6],"Ser.":[7],"B,":[8],"92":[9],"(2004),":[10],"pp.":[11,74],"319--324,":[12],"Theorem":[13],"3.5]":[14],"presented":[15],"a":[16,19,26,50],"proof":[17],"of":[18,21,79,90,115],"theorem":[20],"Reed":[22],"Wakabayashi":[24],"that":[25,45,88,97,118,125],"brick":[27,55,101],"G":[28],"is":[29,62,93,129],"nonsolid":[30],"if":[31,34],"only":[33],"there":[35],"exist":[36],"two":[37,58,83,103],"vertex-disjoint":[38,59,84,104],"odd":[39,60,85,105],"cycles":[40,61],"C_1":[41],"C_2":[43],"such":[44],"G-V(C_1":[46],"u\u0327p":[47],"C_2)":[48],"has":[49,132],"perfect":[51],"matching.":[52],"Consequently,":[53],"every":[54],"with":[56],"no":[57,98],"solid.":[63],"Recently,":[64],"Lucchesi":[65],"et":[66],"al.":[67],"[SIAM":[68],"J.":[69],"Discrete":[70],"Math.,":[71],"32":[72],"(2018),":[73],"1478--1501]":[75],"constructed":[76],"infinite":[77,113],"families":[78],"solid":[80,100],"bricks":[81],"containing":[82],"cycles.":[86,106],"Noticing":[87],"none":[89],"these":[91],"graphs":[92,116],"cubic,":[94],"they":[95],"conjectured":[96],"cubic":[99],"contains":[102],"In":[107],"this":[108,119],"note,":[109],"we":[110],"present":[111],"an":[112],"family":[114],"showing":[117],"conjecture":[120],"fails.":[121],"We":[122],"further":[123],"show":[124],"the":[126],"minimum":[127],"counterexample":[128],"unique,":[130],"which":[131],"12":[133],"vertices.":[134]},"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"}