{"id":"https://openalex.org/W4415192170","doi":"https://doi.org/10.1002/jgt.70153","title":"A Generalization of an Ear Decomposition and k\u2010Trees in Highly Connected Star\u2010Free Graphs","display_name":"A Generalization of an Ear Decomposition and k\u2010Trees in Highly Connected Star\u2010Free Graphs","publication_year":2026,"publication_date":"2026-10-30","ids":{"openalex":"https://openalex.org/W4415192170","doi":"https://doi.org/10.1002/jgt.70153"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.70153","doi":"https://doi.org/10.1002/jgt.70153","is_oa":true,"landing_page_url":"https://doi.org/10.1002/jgt.70153","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/jgt.70153","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,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-140","russia-white-list-2","vabb-shw"],"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"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/jgt.70153","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023098117","display_name":"Shun\u2010ichi Maezawa","orcid":"https://orcid.org/0000-0003-1607-8665","observed_orcids":["https://orcid.org/0000-0003-1607-8665"]},"institutions":[{"id":"https://openalex.org/I104946051","display_name":"Nihon University","ror":"https://ror.org/05jk51a88","country_code":"JP","type":"education","lineage":["https://openalex.org/I104946051"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shun\u2010ichi Maezawa","raw_affiliation_strings":["Department of Information Science Nihon University, Setagaya-ku Tokyo Japan"],"raw_orcid":"https://orcid.org/0000-0003-1607-8665","affiliations":[{"raw_affiliation_string":"Department of Information Science Nihon University, Setagaya-ku Tokyo Japan","institution_ids":["https://openalex.org/I104946051"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080040800","display_name":"Kenta Ozeki","orcid":"https://orcid.org/0000-0003-3118-0086","observed_orcids":["https://orcid.org/0000-0003-3118-0086"]},"institutions":[{"id":"https://openalex.org/I180203408","display_name":"Yokohama National University","ror":"https://ror.org/03zyp6p76","country_code":"JP","type":"education","lineage":["https://openalex.org/I180203408"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kenta Ozeki","raw_affiliation_strings":["Faculty of Environment and Information Sciences Yokohama National University, Yokohama Kanagawa Japan"],"raw_orcid":"https://orcid.org/0000-0003-3118-0086","affiliations":[{"raw_affiliation_string":"Faculty of Environment and Information Sciences Yokohama National University, Yokohama Kanagawa Japan","institution_ids":["https://openalex.org/I180203408"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Masaki Yamamoto","orcid":"https://orcid.org/0000-0002-3472-941X","observed_orcids":["https://orcid.org/0000-0002-3472-941X"]},"institutions":[{"id":"https://openalex.org/I6030618","display_name":"Seikei University","ror":"https://ror.org/03ptaj492","country_code":"JP","type":"education","lineage":["https://openalex.org/I6030618"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masaki Yamamoto","raw_affiliation_strings":["Department of Computer and Information Science Seikei University, Musashino Tokyo Japan"],"raw_orcid":"https://orcid.org/0000-0002-3472-941X","affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science Seikei University, Musashino Tokyo Japan","institution_ids":["https://openalex.org/I6030618"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040444421","display_name":"Takamasa Yashima","orcid":"https://orcid.org/0000-0002-3378-4740","observed_orcids":["https://orcid.org/0000-0002-3378-4740"]},"institutions":[{"id":"https://openalex.org/I125852741","display_name":"Kanazawa Institute of Technology","ror":"https://ror.org/02ws33e43","country_code":"JP","type":"education","lineage":["https://openalex.org/I125852741"]},{"id":"https://openalex.org/I6030618","display_name":"Seikei University","ror":"https://ror.org/03ptaj492","country_code":"JP","type":"education","lineage":["https://openalex.org/I6030618"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takamasa Yashima","raw_affiliation_strings":["Department of Computer and Information Science Seikei University, Musashino Tokyo Japan","Kanazawa Institute of Technology, Nonoichi Ishikawa Japan"],"raw_orcid":"https://orcid.org/0000-0002-3378-4740","affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science Seikei University, Musashino Tokyo Japan","institution_ids":["https://openalex.org/I6030618"]},{"raw_affiliation_string":"Kanazawa Institute of Technology, Nonoichi Ishikawa Japan","institution_ids":["https://openalex.org/I125852741"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040444421"],"corresponding_institution_ids":["https://openalex.org/I125852741","https://openalex.org/I6030618"],"apc_list":{"value":4150,"currency":"USD","value_usd":4150},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02786469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9955999851226807,"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":0.9955999851226807,"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":0.0032999999821186066,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.00019999999494757503,"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/ear-decomposition","display_name":"ear decomposition","score":0.9190000295639038},{"id":"https://openalex.org/keywords/k-trees","display_name":"k-trees","score":0.9580000042915344},{"id":"https://openalex.org/keywords/highly-connected-graphs","display_name":"highly connected graphs","score":0.8360000252723694},{"id":"https://openalex.org/keywords/spanning-trees","display_name":"spanning trees","score":0.7160000205039978},{"id":"https://openalex.org/keywords/factor-theorem","display_name":"factor theorem","score":0.625},{"id":"https://openalex.org/keywords/hall-s-marriage-theorem","display_name":"Hall's marriage theorem","score":0.9829999804496765},{"id":"https://openalex.org/keywords/graph-toughness","display_name":"graph toughness","score":0.3140000104904175}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7300999760627747},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6460000276565552},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5898000001907349},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.49140000343322754},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4887999892234802},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.4794999957084656},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.46480000019073486},{"id":"https://openalex.org/C187407849","wikidata":"https://www.wikidata.org/wiki/Q6889712","display_name":"Modular decomposition","level":5,"score":0.4244000017642975},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.421999990940094},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.39800000190734863},{"id":"https://openalex.org/C2779182943","wikidata":"https://www.wikidata.org/wiki/Q25345219","display_name":"Decomposition theorem","level":2,"score":0.37940001487731934},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.3481999933719635},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.3398999869823456},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.335999995470047},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.2994999885559082},{"id":"https://openalex.org/C13743678","wikidata":"https://www.wikidata.org/wiki/Q240464","display_name":"Minimum spanning tree","level":2,"score":0.2736999988555908},{"id":"https://openalex.org/C70501317","wikidata":"https://www.wikidata.org/wiki/Q462095","display_name":"Tree decomposition","level":5,"score":0.26579999923706055}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1002/jgt.70153","doi":"https://doi.org/10.1002/jgt.70153","is_oa":true,"landing_page_url":"https://doi.org/10.1002/jgt.70153","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/jgt.70153","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,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-140","russia-white-list-2","vabb-shw"],"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"},{"id":"pmh:oai:arXiv.org:2508.05962","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2508.05962","pdf_url":"https://arxiv.org/pdf/2508.05962","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2508.05962","doi":"https://doi.org/10.48550/arxiv.2508.05962","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2508.05962","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1002/jgt.70153","doi":"https://doi.org/10.1002/jgt.70153","is_oa":true,"landing_page_url":"https://doi.org/10.1002/jgt.70153","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/jgt.70153","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,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-140","russia-white-list-2","vabb-shw"],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320335268","display_name":"Research Institute for Mathematical Sciences","ror":"https://ror.org/02kpeqv85"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415192170.pdf","grobid_xml":"https://content.openalex.org/works/W4415192170.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2963582074","https://openalex.org/W4414718347","https://openalex.org/W4408652705","https://openalex.org/W7159818058","https://openalex.org/W1989205613","https://openalex.org/W4398220193","https://openalex.org/W7100676604","https://openalex.org/W3000608223","https://openalex.org/W2043633782","https://openalex.org/W7096639077"],"abstract_inverted_index":{"ABSTRACT":[0],"In":[1],"this":[2],"paper,":[3],"we":[4,64],"introduce":[5],"a":[6,14,29,38,46,49,72,78,102,106],"generalized":[7],"version":[8],"of":[9,37,57,81],"an":[10],"ear":[11],"decomposition,":[12,16],"called":[13],"\u2010spider":[15,103],"for":[17,34,74,85],"\u2010connected":[18,68],"star\u2010free":[19,43],"graphs":[20],"with":[21],".":[22,61,86],"This":[23],"application":[24],"enables":[25],"us":[26],"to":[27,110],"improve":[28],"previously":[30],"known":[31],"sufficient":[32],"condition":[33],"the":[35],"existence":[36],"\u2010tree":[39,47,73],"in":[40,52],"highly":[41],"connected":[42],"graphs,":[44],"where":[45],"is":[48,56],"spanning":[50],"tree":[51],"which":[53],"every":[54,67],"vertex":[55],"degree":[58],"at":[59],"most":[60],"More":[62],"precisely,":[63],"show":[65],"that":[66],"\u2010free":[69],"graph":[70],"has":[71],",":[75],"thereby":[76],"improving":[77],"classical":[79],"result":[80],"Jackson":[82],"and":[83,97,105],"Wormald":[84],"Our":[87],"approach":[88],"differs":[89],"from":[90],"previous":[91],"studies":[92],"based":[93],"on":[94,100],"toughness\u2010type":[95],"arguments":[96],"instead":[98],"relies":[99],"both":[101],"decomposition":[104],"factor":[107],"theorem":[108],"related":[109],"Hall's":[111],"marriage":[112],"theorem.":[113]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2025-10-15T00:00:00"}