{"id":"https://openalex.org/W2163008699","doi":"https://doi.org/10.1016/0012-365x(94)00280-v","title":"On the fixed edge of planar graphs with minimum degree five","display_name":"On the fixed edge of planar graphs with minimum degree five","publication_year":1996,"publication_date":"1996-05-01","ids":{"openalex":"https://openalex.org/W2163008699","doi":"https://doi.org/10.1016/0012-365x(94)00280-v","mag":"2163008699"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(94)00280-v","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(94)00280-v","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"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/A5005438969","display_name":"Baogang Xu","orcid":"https://orcid.org/0000-0003-0435-6103"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baogang Xu","raw_affiliation_strings":["Mathematics Department, Shandong University, Jinan, 250100, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Shandong University, Jinan, 250100, People's Republic of China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103577909","display_name":"Hongbing Fan","orcid":null},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongbing Fan","raw_affiliation_strings":["Mathematics Department, Shandong University, Jinan, 250100, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Shandong University, Jinan, 250100, People's Republic of China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103577909"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.515,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69387197,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"152","issue":"1-3","first_page":"325","last_page":"328"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.994700014591217,"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":0.994700014591217,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9688000082969666,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11870","display_name":"Structural Analysis and Optimization","score":0.9524000287055969,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8889703750610352},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7796863317489624},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.6364086866378784},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6210052967071533},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5495362877845764},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.5243620872497559},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5141932964324951},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.47731098532676697},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4618614614009857},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.44547557830810547},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.43952932953834534},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4375404417514801},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.35696905851364136},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.16369587182998657},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05253314971923828}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8889703750610352},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7796863317489624},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.6364086866378784},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6210052967071533},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5495362877845764},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.5243620872497559},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5141932964324951},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.47731098532676697},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4618614614009857},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.44547557830810547},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.43952932953834534},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4375404417514801},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.35696905851364136},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.16369587182998657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05253314971923828},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(94)00280-v","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(94)00280-v","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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":8,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1966254518","https://openalex.org/W1971884001","https://openalex.org/W1999667176","https://openalex.org/W2088297899","https://openalex.org/W2588591072","https://openalex.org/W4210642277","https://openalex.org/W4300303686"],"related_works":["https://openalex.org/W603403972","https://openalex.org/W2152638828","https://openalex.org/W1578113210","https://openalex.org/W3121955789","https://openalex.org/W2061237693","https://openalex.org/W1560307591","https://openalex.org/W1554245510","https://openalex.org/W2133160845","https://openalex.org/W2579368376","https://openalex.org/W4386528600"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}