{"id":"https://openalex.org/W4413132551","doi":"https://doi.org/10.37236/13074","title":"A New Strategy for Finding Spanning Trees without Small Degree Stems","display_name":"A New Strategy for Finding Spanning Trees without Small Degree Stems","publication_year":2025,"publication_date":"2025-08-08","ids":{"openalex":"https://openalex.org/W4413132551","doi":"https://doi.org/10.37236/13074"},"language":"en","primary_location":{"id":"doi:10.37236/13074","is_oa":true,"landing_page_url":"https://doi.org/10.37236/13074","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i3p23/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i3p23/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045129685","display_name":"Michitaka Furuya","orcid":"https://orcid.org/0000-0003-0991-6122"},"institutions":[{"id":"https://openalex.org/I64189623","display_name":"Kitasato University","ror":"https://ror.org/00f2txz25","country_code":"JP","type":"education","lineage":["https://openalex.org/I64189623"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Michitaka Furuya","raw_affiliation_strings":["Kitasato University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kitasato University","institution_ids":["https://openalex.org/I64189623"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061553466","display_name":"Shoichi Tsuchiya","orcid":"https://orcid.org/0000-0001-9006-5120"},"institutions":[{"id":"https://openalex.org/I85283370","display_name":"Senshu University","ror":"https://ror.org/03jzxkg37","country_code":"JP","type":"education","lineage":["https://openalex.org/I85283370"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shoichi Tsuchiya","raw_affiliation_strings":["Senshu University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Senshu University","institution_ids":["https://openalex.org/I85283370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19694815,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"3","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":0.9994000196456909,"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":0.9994000196456909,"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/T11567","display_name":"semigroups and automata theory","score":0.9822999835014343,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9801999926567078,"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/combinatorics","display_name":"Combinatorics","score":0.7483914494514465},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.7307137846946716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.682440459728241},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6671728491783142},{"id":"https://openalex.org/keywords/minimum-degree-spanning-tree","display_name":"Minimum degree spanning tree","score":0.5440288782119751},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5338201522827148},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4456075131893158},{"id":"https://openalex.org/keywords/minimum-spanning-tree","display_name":"Minimum spanning tree","score":0.4403541088104248},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05100041627883911}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7483914494514465},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.7307137846946716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.682440459728241},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6671728491783142},{"id":"https://openalex.org/C64271015","wikidata":"https://www.wikidata.org/wiki/Q6865444","display_name":"Minimum degree spanning tree","level":3,"score":0.5440288782119751},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5338201522827148},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4456075131893158},{"id":"https://openalex.org/C13743678","wikidata":"https://www.wikidata.org/wiki/Q240464","display_name":"Minimum spanning tree","level":2,"score":0.4403541088104248},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05100041627883911},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/13074","is_oa":true,"landing_page_url":"https://doi.org/10.37236/13074","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i3p23/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/13074","is_oa":true,"landing_page_url":"https://doi.org/10.37236/13074","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i3p23/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2211418495","display_name":null,"funder_award_id":"23K03204","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G3764342307","display_name":null,"funder_award_id":"25K07107","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"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"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4413132551.pdf","grobid_xml":"https://content.openalex.org/works/W4413132551.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2099915933","https://openalex.org/W4308416203","https://openalex.org/W2149927264","https://openalex.org/W2803918337","https://openalex.org/W4295683043","https://openalex.org/W2015718828","https://openalex.org/W2053060257","https://openalex.org/W3141326665","https://openalex.org/W2047517090","https://openalex.org/W2350799039"],"abstract_inverted_index":{"For":[0],"an":[1],"integer":[2],"$k\\geq":[3],"2$,":[4],"a":[5,9,21,31,35,44,53,67,75,81,88],"spanning":[6,38],"tree":[7,39],"of":[8,13,23,28,34,74,87],"graph":[10,46],"without":[11],"vertices":[12],"degree":[14],"from":[15],"$2$":[16],"to":[17],"$k$":[18],"is":[19,30,43],"called":[20],"$[2,k]$-ST":[22],"the":[24,61,72,85],"graph.":[25],"The":[26],"concept":[27],"$[2,k]$-STs":[29],"natural":[32],"extension":[33],"homeomorphically":[36],"irreducible":[37],"(or":[40],"HIST),":[41],"which":[42],"well-studied":[45],"structure.":[47],"In":[48],"this":[49],"paper,":[50],"we":[51,63,78],"give":[52],"new":[54],"strategy":[55],"for":[56,71,84],"finding":[57],"$[2,k]$-STs.":[58],"By":[59],"using":[60],"strategy,":[62],"refine":[64],"or":[65],"extend":[66],"known":[68],"degree-sum":[69],"condition":[70,83],"existence":[73,86],"HIST.":[76],"Furthermore,":[77],"also":[79],"investigate":[80],"degree-product":[82],"$[2,k]$-ST.":[89]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}