{"id":"https://openalex.org/W2046861378","doi":"https://doi.org/10.1137/s0895480193258017","title":"Nowhere-Zero 4-Flows and Cayley Graphs on Solvable Groups","display_name":"Nowhere-Zero 4-Flows and Cayley Graphs on Solvable Groups","publication_year":1996,"publication_date":"1996-02-01","ids":{"openalex":"https://openalex.org/W2046861378","doi":"https://doi.org/10.1137/s0895480193258017","mag":"2046861378"},"language":"en","primary_location":{"id":"doi:10.1137/s0895480193258017","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480193258017","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on 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/A5075057406","display_name":"Brian Alspach","orcid":"https://orcid.org/0000-0002-1034-3993"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Brian Alspach","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100726685","display_name":"Yiping Liu","orcid":"https://orcid.org/0000-0001-7340-2551"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yi-Ping Liu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5064703404","display_name":"Cun\u2010Quan Zhang","orcid":"https://orcid.org/0000-0001-5583-4481"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cun-Quan Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5168,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.66033831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"9","issue":"1","first_page":"151","last_page":"154"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9984999895095825,"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":0.9966999888420105,"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/mathematics","display_name":"Mathematics","score":0.8755794763565063},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.8639558553695679},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7564787864685059},{"id":"https://openalex.org/keywords/vertex-transitive-graph","display_name":"Vertex-transitive graph","score":0.5627249479293823},{"id":"https://openalex.org/keywords/cayleys-theorem","display_name":"Cayley's theorem","score":0.5312680006027222},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5061258673667908},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4673350751399994},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4248073995113373},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.3610144853591919},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2940862774848938}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8755794763565063},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.8639558553695679},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7564787864685059},{"id":"https://openalex.org/C113203676","wikidata":"https://www.wikidata.org/wiki/Q220997","display_name":"Vertex-transitive graph","level":5,"score":0.5627249479293823},{"id":"https://openalex.org/C4093544","wikidata":"https://www.wikidata.org/wiki/Q179208","display_name":"Cayley's theorem","level":5,"score":0.5312680006027222},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5061258673667908},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4673350751399994},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4248073995113373},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.3610144853591919},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2940862774848938},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0895480193258017","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480193258017","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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":10,"referenced_works":["https://openalex.org/W92623642","https://openalex.org/W603657711","https://openalex.org/W2013128481","https://openalex.org/W2024194834","https://openalex.org/W2034237454","https://openalex.org/W2036818292","https://openalex.org/W2068987903","https://openalex.org/W2314361409","https://openalex.org/W2339802638","https://openalex.org/W4210766026"],"related_works":["https://openalex.org/W1968298352","https://openalex.org/W4300515593","https://openalex.org/W2075255168","https://openalex.org/W2258599782","https://openalex.org/W2898326650","https://openalex.org/W3024284632","https://openalex.org/W2377531823","https://openalex.org/W2084790024","https://openalex.org/W156501607","https://openalex.org/W2373941240"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"every":[3,17],"Cayley":[4,19],"graph":[5,20,29],"on":[6,21],"a":[7,12,22],"finite":[8],"solvable":[9,23],"group":[10,24],"admits":[11],"nowhere-zero":[13],"4-flow.":[14],"In":[15],"particular,":[16],"cubic":[18],"is":[25],"3-edge-colorable.MSC":[26],"codes05C2505C15Keywordsinteger":[27],"flowedge-coloringCayley":[28]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}