{"id":"https://openalex.org/W2022762479","doi":"https://doi.org/10.1007/s00493-008-2364-3","title":"Optimal strong parity edge-coloring of complete graphs","display_name":"Optimal strong parity edge-coloring of complete graphs","publication_year":2008,"publication_date":"2008-11-01","ids":{"openalex":"https://openalex.org/W2022762479","doi":"https://doi.org/10.1007/s00493-008-2364-3","mag":"2022762479"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-008-2364-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-008-2364-3","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","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/A5005348702","display_name":"David P. Bunde","orcid":"https://orcid.org/0000-0001-6334-356X"},"institutions":[{"id":"https://openalex.org/I42387498","display_name":"Knox College","ror":"https://ror.org/04hfkdb50","country_code":"US","type":"education","lineage":["https://openalex.org/I42387498"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David P. Bunde","raw_affiliation_strings":["Computer Science Department, Knox College, 2 East South Street, Galesburg, IL, 61401-4999, USA","Knox College, Computer Science Department, 2 East South Street, 61401-4999, Galesburg, IL, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Knox College, 2 East South Street, Galesburg, IL, 61401-4999, USA","institution_ids":["https://openalex.org/I42387498"]},{"raw_affiliation_string":"Knox College, Computer Science Department, 2 East South Street, 61401-4999, Galesburg, IL, USA#TAB#","institution_ids":["https://openalex.org/I42387498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084518919","display_name":"Kevin G. Milans","orcid":"https://orcid.org/0000-0002-9680-8949"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kevin Milans","raw_affiliation_strings":["Mathematics Department, University of Illinois, 1409 W. Green Street, Urbana, IL, 61801-2975, USA","University of Illinois, Mathematics Department, 1409 W. Green Street, 61801-2975, Urbana, IL, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Illinois, 1409 W. Green Street, Urbana, IL, 61801-2975, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois, Mathematics Department, 1409 W. Green Street, 61801-2975, Urbana, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017595199","display_name":"Douglas B. West","orcid":"https://orcid.org/0000-0001-8818-1667"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Douglas B. West","raw_affiliation_strings":["Mathematics Department, University of Illinois, 1409 W. Green Street, Urbana, IL, 61801-2975, USA","University of Illinois, Mathematics Department, 1409 W. Green Street, 61801-2975, Urbana, IL, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Illinois, 1409 W. Green Street, Urbana, IL, 61801-2975, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois, Mathematics Department, 1409 W. Green Street, 61801-2975, Urbana, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013121719","display_name":"Hehui Wu","orcid":"https://orcid.org/0000-0001-9849-9097"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hehui Wu","raw_affiliation_strings":["Mathematics Department, University of Illinois, 1409 W. Green Street, Urbana, IL, 61801-2975, USA","University of Illinois, Mathematics Department, 1409 W. Green Street, 61801-2975, Urbana, IL, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Illinois, 1409 W. Green Street, Urbana, IL, 61801-2975, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois, Mathematics Department, 1409 W. Green Street, 61801-2975, Urbana, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017595199"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":1.6325,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.8361196,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"28","issue":"6","first_page":"625","last_page":"632"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9994000196456909,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9994000196456909,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9973000288009644,"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":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8052479028701782},{"id":"https://openalex.org/keywords/parity","display_name":"Parity (physics)","score":0.7821887135505676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7771872282028198},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.6993027329444885},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.4801349341869354},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.41432297229766846},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40957868099212646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40179577469825745},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1124793291091919},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.09628215432167053},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.060699135065078735}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8052479028701782},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.7821887135505676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7771872282028198},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.6993027329444885},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.4801349341869354},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.41432297229766846},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40957868099212646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40179577469825745},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1124793291091919},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.09628215432167053},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.060699135065078735},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00493-008-2364-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-008-2364-3","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.112.7594","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.112.7594","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uiuc.edu/~west/pubs/parshort.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.116.6896","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.116.6896","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uiuc.edu/~west/pubs/parshort.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.588.4242","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.588.4242","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://faculty.knox.edu/dbunde/pubs/parityedge-Kn.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W183327403","https://openalex.org/W202737114","https://openalex.org/W649265788","https://openalex.org/W1646454636","https://openalex.org/W1966215127","https://openalex.org/W2004390171","https://openalex.org/W2020332469","https://openalex.org/W2025707237","https://openalex.org/W2030028746","https://openalex.org/W2030239329","https://openalex.org/W2078034676","https://openalex.org/W2082905402","https://openalex.org/W2086579932","https://openalex.org/W2911280162","https://openalex.org/W2999389258"],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W4291316360","https://openalex.org/W3169197204","https://openalex.org/W2380525562","https://openalex.org/W398688634","https://openalex.org/W4229747356","https://openalex.org/W2385428710","https://openalex.org/W2585997002","https://openalex.org/W133702489","https://openalex.org/W4296859768"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}