{"id":"https://openalex.org/W2155998721","doi":"https://doi.org/10.1017/s0963548305007340","title":"Splitter Theorems for Cubic Graphs","display_name":"Splitter Theorems for Cubic Graphs","publication_year":2006,"publication_date":"2006-04-07","ids":{"openalex":"https://openalex.org/W2155998721","doi":"https://doi.org/10.1017/s0963548305007340","mag":"2155998721"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548305007340","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548305007340","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","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/A5108454863","display_name":"Guoli Ding","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"GUOLI DING","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803, USA (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803, USA (e-mail:","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039508107","display_name":"Jinko Kanno","orcid":"https://orcid.org/0000-0002-2885-2948"},"institutions":[{"id":"https://openalex.org/I919208787","display_name":"Louisiana Tech University","ror":"https://ror.org/04q9esz89","country_code":"US","type":"education","lineage":["https://openalex.org/I2799628689","https://openalex.org/I919208787"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"JINKO KANNO","raw_affiliation_strings":["Mathematics and Statistics Program, Louisiana Tech University, Ruston, Louisiana 71272, USA (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Statistics Program, Louisiana Tech University, Ruston, Louisiana 71272, USA (e-mail:","institution_ids":["https://openalex.org/I919208787"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3243,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65163567,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"15","issue":"3","first_page":"355","last_page":"375"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9922999739646912,"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":0.9922999739646912,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9818999767303467,"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":0.9760000109672546,"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":0.7840457558631897},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.599655270576477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5787567496299744},{"id":"https://openalex.org/keywords/cubic-graph","display_name":"Cubic graph","score":0.5651717185974121},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3855151832103729},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.19117146730422974},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.06729328632354736}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7840457558631897},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.599655270576477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5787567496299744},{"id":"https://openalex.org/C100500283","wikidata":"https://www.wikidata.org/wiki/Q1374495","display_name":"Cubic graph","level":5,"score":0.5651717185974121},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3855151832103729},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.19117146730422974},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.06729328632354736}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0963548305007340","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548305007340","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.lsu.edu:mathematics_pubs-1411","is_oa":false,"landing_page_url":"https://digitalcommons.lsu.edu/mathematics_pubs/412","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-1411","is_oa":false,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/412","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W161349874","https://openalex.org/W1504925519","https://openalex.org/W1518358948","https://openalex.org/W1602709408","https://openalex.org/W1751782804","https://openalex.org/W1975659026","https://openalex.org/W1992325456","https://openalex.org/W2005124615","https://openalex.org/W2030755514","https://openalex.org/W2038044706","https://openalex.org/W2040101882","https://openalex.org/W2049034137","https://openalex.org/W2064449854","https://openalex.org/W2074335998"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2999072196","https://openalex.org/W2166401647"],"abstract_inverted_index":{"Let":[0],"$\\Gamma_{k,g}$":[1,42,71],"be":[2,59],"the":[3,85],"class":[4],"of":[5,10,19,30],"$k$":[6,20],"-connected":[7],"cubic":[8],"graphs":[9,40],"girth":[11],"at":[12],"least":[13],"$g$":[14,22],".":[15],"For":[16],"several":[17],"choices":[18],"and":[21,37,47,83],",":[23,43,46],"we":[24],"determine":[25],"a":[26,66],"set":[27],"${\\cal":[28,56],"O}_{k,g}$":[29,57],"graph":[31,68],"operations,":[32],"for":[33],"which,":[34],"if":[35],"$G$":[36,48,62,81],"$H$":[38,50,90],"are":[39],"in":[41,55,65,70,80],"$G\\not\\cong":[44],"H$":[45],"contains":[49,89],"topologically,":[51,82],"then":[52],"some":[53],"operation":[54],"can":[58],"applied":[60],"to":[61,63],"result":[64],"smaller":[67],"$G'$":[69,77,88],"such":[72],"that,":[73],"on":[74,84],"one":[75],"hand,":[76,87],"is":[78],"contained":[79],"other":[86],"topologically.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}