{"id":"https://openalex.org/W2059224178","doi":"https://doi.org/10.1007/bf03352995","title":"Decomposition of the Flow Polynomial","display_name":"Decomposition of the Flow Polynomial","publication_year":1997,"publication_date":"1997-06-01","ids":{"openalex":"https://openalex.org/W2059224178","doi":"https://doi.org/10.1007/bf03352995","mag":"2059224178"},"language":"en","primary_location":{"id":"doi:10.1007/bf03352995","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf03352995","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","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/A5111951554","display_name":"Kyoko Sekine","orcid":null},"institutions":[{"id":"https://openalex.org/I14396692","display_name":"Tokyo University of Information Sciences","ror":"https://ror.org/044bdx604","country_code":"JP","type":"education","lineage":["https://openalex.org/I14396692"]},{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]},{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"K. Sekine","raw_affiliation_strings":["Department of Information Science, University of Tokyo, Tokyo, 113, Japan","Department of Information Science, University of Tokyo, Tokyo, Japan 113#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Science, University of Tokyo, Tokyo, 113, Japan","institution_ids":["https://openalex.org/I14396692","https://openalex.org/I161296585"]},{"raw_affiliation_string":"Department of Information Science, University of Tokyo, Tokyo, Japan 113#TAB#","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046652345","display_name":"C. Q. Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. Q. Zhang","raw_affiliation_strings":["Department of Mathematics, West Virginia University, Morgantown, WV, 26506-63 10, USA","Department of Mathematics, West Virginia University, Morgantown, USA 26506-63 10#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, West Virginia University, Morgantown, WV, 26506-63 10, USA","institution_ids":["https://openalex.org/I12097938"]},{"raw_affiliation_string":"Department of Mathematics, West Virginia University, Morgantown, USA 26506-63 10#TAB#","institution_ids":["https://openalex.org/I12097938"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.22909408,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"13","issue":"2","first_page":"189","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.1234000027179718,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.1234000027179718,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.12210000306367874,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.8362334966659546},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.683627188205719},{"id":"https://openalex.org/keywords/chromatic-polynomial","display_name":"Chromatic polynomial","score":0.618658721446991},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4842100143432617},{"id":"https://openalex.org/keywords/cubic-graph","display_name":"Cubic graph","score":0.4562164843082428},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4556567668914795},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.45075082778930664},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.4067772924900055},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.37377381324768066},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.26396793127059937},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.15525734424591064}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8362334966659546},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.683627188205719},{"id":"https://openalex.org/C126385604","wikidata":"https://www.wikidata.org/wiki/Q1087609","display_name":"Chromatic polynomial","level":3,"score":0.618658721446991},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4842100143432617},{"id":"https://openalex.org/C100500283","wikidata":"https://www.wikidata.org/wiki/Q1374495","display_name":"Cubic graph","level":5,"score":0.4562164843082428},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4556567668914795},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.45075082778930664},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.4067772924900055},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.37377381324768066},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.26396793127059937},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.15525734424591064},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf03352995","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf03352995","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","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":5,"referenced_works":["https://openalex.org/W25823015","https://openalex.org/W2008263650","https://openalex.org/W2018332478","https://openalex.org/W2088648195","https://openalex.org/W2314361409"],"related_works":["https://openalex.org/W2008080870","https://openalex.org/W2994358711","https://openalex.org/W2034116955","https://openalex.org/W4300844738","https://openalex.org/W2950815869","https://openalex.org/W4288088916","https://openalex.org/W2253595186","https://openalex.org/W2982067480","https://openalex.org/W2130504407","https://openalex.org/W3022154260"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}