{"id":"https://openalex.org/W2016684878","doi":"https://doi.org/10.1016/0012-365x(84)90037-2","title":"A convex characterization of the graphs of the dodecahedron and icosahedron","display_name":"A convex characterization of the graphs of the dodecahedron and icosahedron","publication_year":1984,"publication_date":"1984-01-01","ids":{"openalex":"https://openalex.org/W2016684878","doi":"https://doi.org/10.1016/0012-365x(84)90037-2","mag":"2016684878"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(84)90037-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(84)90037-2","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/A5043323425","display_name":"Patricia Vanden Cruyce","orcid":null},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Patricia Vanden Cruyce","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles, Bruxelles, Belgium","Universite Libre de Bruxelles, Bruxelles, Belgium"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles, Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Universite Libre de Bruxelles, Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043323425"],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.6313,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.63524726,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"50","issue":null,"first_page":"99","last_page":"105"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9768999814987183,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9768999814987183,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9761999845504761,"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":0.9650999903678894,"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/dodecahedron","display_name":"Dodecahedron","score":0.9191261529922485},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7679744362831116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7678558230400085},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6325499415397644},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.5423030257225037},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4715088903903961},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.4508100748062134},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3352530598640442},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16707226634025574},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.10406878590583801},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05077624320983887}],"concepts":[{"id":"https://openalex.org/C94239619","wikidata":"https://www.wikidata.org/wiki/Q178296","display_name":"Dodecahedron","level":2,"score":0.9191261529922485},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7679744362831116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7678558230400085},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6325499415397644},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.5423030257225037},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4715088903903961},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.4508100748062134},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3352530598640442},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16707226634025574},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.10406878590583801},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05077624320983887},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(84)90037-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(84)90037-2","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":2,"referenced_works":["https://openalex.org/W1980052901","https://openalex.org/W2799004609"],"related_works":["https://openalex.org/W4288640859","https://openalex.org/W2910483300","https://openalex.org/W3204036718","https://openalex.org/W4288324104","https://openalex.org/W2300145982","https://openalex.org/W1584292662","https://openalex.org/W2578380588","https://openalex.org/W9822165","https://openalex.org/W2375652826","https://openalex.org/W2951573408"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}