{"id":"https://openalex.org/W2067852932","doi":"https://doi.org/10.1016/0095-8956(89)90050-6","title":"Whitney's 2-switching theorem, cycle spaces, and arc mappings of directed graphs","display_name":"Whitney's 2-switching theorem, cycle spaces, and arc mappings of directed graphs","publication_year":1989,"publication_date":"1989-06-01","ids":{"openalex":"https://openalex.org/W2067852932","doi":"https://doi.org/10.1016/0095-8956(89)90050-6","mag":"2067852932"},"language":"en","primary_location":{"id":"doi:10.1016/0095-8956(89)90050-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0095-8956(89)90050-6","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/A5062275812","display_name":"Carsten Thomassen","orcid":"https://orcid.org/0000-0003-0670-4079"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Carsten Thomassen","raw_affiliation_strings":["Mathematical Institute, The Technical University of Denmark, Building 303, DK-2800 Lyngby, Denmark","Technical Univ. of Denmark, Lyngby"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, The Technical University of Denmark, Building 303, DK-2800 Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Technical Univ. of Denmark, Lyngby","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062275812"],"corresponding_institution_ids":["https://openalex.org/I96673099"],"apc_list":{"value":3420,"currency":"USD","value_usd":3420},"apc_paid":null,"fwci":2.3811,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.89253005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"46","issue":"3","first_page":"257","last_page":"291"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9991999864578247,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9968000054359436,"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/arc","display_name":"Arc (geometry)","score":0.7571877241134644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6965014934539795},{"id":"https://openalex.org/keywords/tournament","display_name":"Tournament","score":0.6322557926177979},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.6145948171615601},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.5861455798149109},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5307859182357788},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4972372353076935},{"id":"https://openalex.org/keywords/feedback-arc-set","display_name":"Feedback arc set","score":0.4754093289375305},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46138814091682434},{"id":"https://openalex.org/keywords/graph-isomorphism","display_name":"Graph isomorphism","score":0.4458513855934143},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3198782205581665},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07859990000724792}],"concepts":[{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.7571877241134644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6965014934539795},{"id":"https://openalex.org/C136975688","wikidata":"https://www.wikidata.org/wiki/Q1320634","display_name":"Tournament","level":2,"score":0.6322557926177979},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6145948171615601},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.5861455798149109},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5307859182357788},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4972372353076935},{"id":"https://openalex.org/C157951044","wikidata":"https://www.wikidata.org/wiki/Q1400910","display_name":"Feedback arc set","level":5,"score":0.4754093289375305},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46138814091682434},{"id":"https://openalex.org/C61665672","wikidata":"https://www.wikidata.org/wiki/Q303100","display_name":"Graph isomorphism","level":4,"score":0.4458513855934143},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3198782205581665},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07859990000724792},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0095-8956(89)90050-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0095-8956(89)90050-6","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":15,"referenced_works":["https://openalex.org/W1495591881","https://openalex.org/W1974936141","https://openalex.org/W1991927950","https://openalex.org/W2006996852","https://openalex.org/W2035926970","https://openalex.org/W2045261535","https://openalex.org/W2059466025","https://openalex.org/W2081599503","https://openalex.org/W2082388593","https://openalex.org/W2118628437","https://openalex.org/W2157737769","https://openalex.org/W2622381546","https://openalex.org/W4210766026","https://openalex.org/W4234391028","https://openalex.org/W6670718779"],"related_works":["https://openalex.org/W2763878192","https://openalex.org/W1702351578","https://openalex.org/W2044058303","https://openalex.org/W1258892498","https://openalex.org/W2085331515","https://openalex.org/W1522618089","https://openalex.org/W2604879517","https://openalex.org/W4360838296","https://openalex.org/W2187958446","https://openalex.org/W3080158623"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}