{"id":"https://openalex.org/W1995518672","doi":"https://doi.org/10.1016/0095-8956(78)90014-x","title":"The crossing number of C3 \u00d7 Cn","display_name":"The crossing number of C3 \u00d7 Cn","publication_year":1978,"publication_date":"1978-04-01","ids":{"openalex":"https://openalex.org/W1995518672","doi":"https://doi.org/10.1016/0095-8956(78)90014-x","mag":"1995518672"},"language":"en","primary_location":{"id":"doi:10.1016/0095-8956(78)90014-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0095-8956(78)90014-x","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/A5053027195","display_name":"Richard D. Ringeisen","orcid":null},"institutions":[{"id":"https://openalex.org/I162817326","display_name":"Indiana University \u2013 Purdue University Fort Wayne","ror":"https://ror.org/01jxzq227","country_code":"US","type":"education","lineage":["https://openalex.org/I162817326"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Richard D Ringeisen","raw_affiliation_strings":["Department of Mathematical Sciences, Purdue University, Fort Wayne, Indiana 46805 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Purdue University, Fort Wayne, Indiana 46805 USA","institution_ids":["https://openalex.org/I162817326"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086724866","display_name":"Lowell W. Beineke","orcid":null},"institutions":[{"id":"https://openalex.org/I162817326","display_name":"Indiana University \u2013 Purdue University Fort Wayne","ror":"https://ror.org/01jxzq227","country_code":"US","type":"education","lineage":["https://openalex.org/I162817326"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lowell W Beineke","raw_affiliation_strings":["Department of Mathematical Sciences, Purdue University, Fort Wayne, Indiana 46805 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Purdue University, Fort Wayne, Indiana 46805 USA","institution_ids":["https://openalex.org/I162817326"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053027195"],"corresponding_institution_ids":["https://openalex.org/I162817326"],"apc_list":{"value":3420,"currency":"USD","value_usd":3420},"apc_paid":null,"fwci":1.3486,"has_fulltext":false,"cited_by_count":118,"citation_normalized_percentile":{"value":0.79057592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"24","issue":"2","first_page":"134","last_page":"136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9891999959945679,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9891999959945679,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9710999727249146,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/level-crossing","display_name":"Level crossing","score":0.3382963538169861},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.1723748743534088},{"id":"https://openalex.org/keywords/archaeology","display_name":"Archaeology","score":0.06596359610557556}],"concepts":[{"id":"https://openalex.org/C1975866","wikidata":"https://www.wikidata.org/wiki/Q171448","display_name":"Level crossing","level":2,"score":0.3382963538169861},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.1723748743534088},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.06596359610557556}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0095-8956(78)90014-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0095-8956(78)90014-x","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W15502516","https://openalex.org/W2032958186","https://openalex.org/W2318992515","https://openalex.org/W2504297371","https://openalex.org/W4240657212","https://openalex.org/W6600638212"],"related_works":["https://openalex.org/W587599514","https://openalex.org/W3143005427","https://openalex.org/W2005802643","https://openalex.org/W34464115","https://openalex.org/W2800591694","https://openalex.org/W1975380057","https://openalex.org/W2045577915","https://openalex.org/W2262786710","https://openalex.org/W581325822","https://openalex.org/W2523635498"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-26T08:31:28.666265","created_date":"2025-10-10T00:00:00"}