{"id":"https://openalex.org/W2034940329","doi":"https://doi.org/10.1016/0095-8956(79)90051-0","title":"Index four orientable embeddings and case zero of the Heawood conjecture","display_name":"Index four orientable embeddings and case zero of the Heawood conjecture","publication_year":1979,"publication_date":"1979-04-01","ids":{"openalex":"https://openalex.org/W2034940329","doi":"https://doi.org/10.1016/0095-8956(79)90051-0","mag":"2034940329"},"language":"en","primary_location":{"id":"doi:10.1016/0095-8956(79)90051-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0095-8956(79)90051-0","pdf_url":null,"source":{"id":"https://openalex.org/S2939117604","display_name":"Journal of Combinatorial Theory Series B","issn_l":"0095-8956","issn":["0095-8956","1096-0902"],"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":"Journal of Combinatorial Theory, Series B","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/A5016126128","display_name":"David Pengelley","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David J Pengelley","raw_affiliation_strings":["Department of Mathematics, University of Washington, Seattle, Washington 98195 USA","Department of Mathematics, University of Washington, Seattle, Washington 98195, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Washington, Seattle, Washington 98195 USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Department of Mathematics, University of Washington, Seattle, Washington 98195, USA#TAB#","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082826919","display_name":"Mark Jungerman","orcid":null},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M Jungerman","raw_affiliation_strings":["Department of Mathematics, University of California, Santa Cruz, California 95064 USA","Department of Mathematics, University of #N#California, Santa Cruz, California 95064, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Santa Cruz, California 95064 USA","institution_ids":["https://openalex.org/I185103710"]},{"raw_affiliation_string":"Department of Mathematics, University of #N#California, Santa Cruz, California 95064, USA","institution_ids":["https://openalex.org/I185103710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016126128"],"corresponding_institution_ids":["https://openalex.org/I201448701"],"apc_list":{"value":3420,"currency":"USD","value_usd":3420},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.19541526,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"26","issue":"2","first_page":"131","last_page":"144"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9983999729156494,"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/T12504","display_name":"Mathematics and Applications","score":0.9983999729156494,"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/T11797","display_name":"graph theory and CDMA systems","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9801999926567078,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.7969857454299927},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7911392450332642},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.745957612991333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6321597695350647},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3886581361293793},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3692649006843567},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19916102290153503},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.10313394665718079},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.07248470187187195},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.06437826156616211}],"concepts":[{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.7969857454299927},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7911392450332642},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.745957612991333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6321597695350647},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3886581361293793},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3692649006843567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19916102290153503},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.10313394665718079},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.07248470187187195},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.06437826156616211}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0095-8956(79)90051-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0095-8956(79)90051-0","pdf_url":null,"source":{"id":"https://openalex.org/S2939117604","display_name":"Journal of Combinatorial Theory Series B","issn_l":"0095-8956","issn":["0095-8956","1096-0902"],"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":"Journal of Combinatorial Theory, Series B","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":10,"referenced_works":["https://openalex.org/W609188758","https://openalex.org/W2020422308","https://openalex.org/W2021304992","https://openalex.org/W2026764197","https://openalex.org/W2048568841","https://openalex.org/W2052263074","https://openalex.org/W2062089171","https://openalex.org/W6618727784","https://openalex.org/W6655320892","https://openalex.org/W6655725814"],"related_works":["https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W4297950433","https://openalex.org/W4287023968","https://openalex.org/W4288279572","https://openalex.org/W1973978937","https://openalex.org/W4286909116","https://openalex.org/W4292635168"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}