{"id":"https://openalex.org/W2341155139","doi":"https://doi.org/10.1007/s00373-016-1697-8","title":"Vertex Arboricity and Vertex Degrees","display_name":"Vertex Arboricity and Vertex Degrees","publication_year":2016,"publication_date":"2016-04-12","ids":{"openalex":"https://openalex.org/W2341155139","doi":"https://doi.org/10.1007/s00373-016-1697-8","mag":"2341155139"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-016-1697-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-016-1697-8","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/A5021940540","display_name":"Douglas C. Bauer","orcid":"https://orcid.org/0000-0001-5261-7721"},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"D. Bauer","raw_affiliation_strings":["Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ, 07030, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ, 07030, USA","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042773380","display_name":"A. Nevo","orcid":null},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Nevo","raw_affiliation_strings":["Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ, 07030, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ, 07030, USA","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063563448","display_name":"E. F. Schmeichel","orcid":null},"institutions":[{"id":"https://openalex.org/I51504820","display_name":"San Jose State University","ror":"https://ror.org/04qyvz380","country_code":"US","type":"education","lineage":["https://openalex.org/I51504820"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. Schmeichel","raw_affiliation_strings":["Department of Mathematics, San Jos\u00e9 State University, San Jos\u00e9, CA, 95192, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, San Jos\u00e9 State University, San Jos\u00e9, CA, 95192, USA","institution_ids":["https://openalex.org/I51504820"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021940540"],"corresponding_institution_ids":["https://openalex.org/I108468826"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.04015156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"32","issue":"5","first_page":"1699","last_page":"1705"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9966999888420105,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9966999888420105,"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/T11567","display_name":"semigroups and automata theory","score":0.9929999709129333,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9911999702453613,"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/arboricity","display_name":"Arboricity","score":0.932217538356781},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7313627600669861},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7145974636077881},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6854265928268433},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.5572277307510376},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3349301218986511},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2615021765232086},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.12298175692558289},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.08269703388214111}],"concepts":[{"id":"https://openalex.org/C83204008","wikidata":"https://www.wikidata.org/wiki/Q4784907","display_name":"Arboricity","level":4,"score":0.932217538356781},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7313627600669861},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7145974636077881},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6854265928268433},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.5572277307510376},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3349301218986511},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2615021765232086},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.12298175692558289},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.08269703388214111},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-016-1697-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-016-1697-8","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W184281306","https://openalex.org/W1479863711","https://openalex.org/W2000934872","https://openalex.org/W2017363710","https://openalex.org/W2046857096","https://openalex.org/W2063302961","https://openalex.org/W2108301529","https://openalex.org/W3141776272"],"related_works":["https://openalex.org/W2061460135","https://openalex.org/W2358241443","https://openalex.org/W2102797028","https://openalex.org/W2546938836","https://openalex.org/W2378943540","https://openalex.org/W1965257249","https://openalex.org/W2023875606","https://openalex.org/W2357141601","https://openalex.org/W2380429696","https://openalex.org/W4300515261"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}
