{"id":"https://openalex.org/W2059705929","doi":"https://doi.org/10.1016/s0095-8956(03)00035-2","title":"Biased graphs IV: Geometrical realizations","display_name":"Biased graphs IV: Geometrical realizations","publication_year":2003,"publication_date":"2003-09-16","ids":{"openalex":"https://openalex.org/W2059705929","doi":"https://doi.org/10.1016/s0095-8956(03)00035-2","mag":"2059705929"},"language":"en","primary_location":{"id":"doi:10.1016/s0095-8956(03)00035-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0095-8956(03)00035-2","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/A5036737366","display_name":"Thomas Zas\u013aavsky","orcid":"https://orcid.org/0000-0003-0851-7963"},"institutions":[{"id":"https://openalex.org/I123946342","display_name":"Binghamton University","ror":"https://ror.org/008rmbt77","country_code":"US","type":"education","lineage":["https://openalex.org/I123946342"]},{"id":"https://openalex.org/I1327163397","display_name":"State University of New York","ror":"https://ror.org/01q1z8k08","country_code":"US","type":"education","lineage":["https://openalex.org/I1327163397"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Thomas Zaslavsky","raw_affiliation_strings":["Department of Mathematical Sciences, State University of New York, University Center at Binghamton, Binghamton, NY 13902-6000, USA","Department of Mathematical Sciences, State University of New York, University Center at Binghamton, Binghamton, NY 13902-6000, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, State University of New York, University Center at Binghamton, Binghamton, NY 13902-6000, USA","institution_ids":["https://openalex.org/I123946342"]},{"raw_affiliation_string":"Department of Mathematical Sciences, State University of New York, University Center at Binghamton, Binghamton, NY 13902-6000, USA#TAB#","institution_ids":["https://openalex.org/I1327163397"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036737366"],"corresponding_institution_ids":["https://openalex.org/I123946342","https://openalex.org/I1327163397"],"apc_list":{"value":3420,"currency":"USD","value_usd":3420},"apc_paid":null,"fwci":2.1821,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.87581385,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"89","issue":"2","first_page":"231","last_page":"297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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":0.9994999766349792,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/mathematics","display_name":"Mathematics","score":0.7032659649848938},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.690483033657074},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.6565902829170227},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.5868528485298157},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.5552847385406494},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5020599365234375},{"id":"https://openalex.org/keywords/dual-graph","display_name":"Dual graph","score":0.4684230089187622},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.45781034231185913},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4185546338558197},{"id":"https://openalex.org/keywords/projective-space","display_name":"Projective space","score":0.4127492904663086},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3394373059272766},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.28545695543289185},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1731359362602234},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11491402983665466},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.0927799642086029}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7032659649848938},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.690483033657074},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.6565902829170227},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.5868528485298157},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.5552847385406494},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5020599365234375},{"id":"https://openalex.org/C169827030","wikidata":"https://www.wikidata.org/wiki/Q2294516","display_name":"Dual graph","level":4,"score":0.4684230089187622},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.45781034231185913},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4185546338558197},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.4127492904663086},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3394373059272766},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.28545695543289185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1731359362602234},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11491402983665466},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.0927799642086029},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/s0095-8956(03)00035-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0095-8956(03)00035-2","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.27.9477","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.9477","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.binghamton.edu/zaslav/Tpapers/bg4.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.57.2871","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.2871","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.binghamton.edu/zaslav/Tpapers/bg4.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.66.3622","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.66.3622","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.binghamton.edu/zaslav/Tpapers/bg4.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":48,"referenced_works":["https://openalex.org/W377884864","https://openalex.org/W423244868","https://openalex.org/W617723651","https://openalex.org/W659089152","https://openalex.org/W1489535945","https://openalex.org/W1527073563","https://openalex.org/W1538550540","https://openalex.org/W1644084797","https://openalex.org/W1973812888","https://openalex.org/W1975434379","https://openalex.org/W1980769375","https://openalex.org/W1981244742","https://openalex.org/W1989837837","https://openalex.org/W1997357497","https://openalex.org/W2002911484","https://openalex.org/W2006587062","https://openalex.org/W2016940364","https://openalex.org/W2026745357","https://openalex.org/W2029787168","https://openalex.org/W2035232459","https://openalex.org/W2039415399","https://openalex.org/W2055584434","https://openalex.org/W2063835992","https://openalex.org/W2065334221","https://openalex.org/W2068081829","https://openalex.org/W2068984122","https://openalex.org/W2076679259","https://openalex.org/W2078667951","https://openalex.org/W2080817296","https://openalex.org/W2081802266","https://openalex.org/W2091715579","https://openalex.org/W2100202683","https://openalex.org/W2117060314","https://openalex.org/W2121741654","https://openalex.org/W2138241477","https://openalex.org/W2312434681","https://openalex.org/W2324166574","https://openalex.org/W2330548796","https://openalex.org/W2472122246","https://openalex.org/W2971330320","https://openalex.org/W3047975426","https://openalex.org/W3048275137","https://openalex.org/W3144615098","https://openalex.org/W4210751359","https://openalex.org/W4245513603","https://openalex.org/W4254205555","https://openalex.org/W4255296422","https://openalex.org/W6692967099"],"related_works":["https://openalex.org/W2550106438","https://openalex.org/W3165795633","https://openalex.org/W146649319","https://openalex.org/W2106412416","https://openalex.org/W802746881","https://openalex.org/W2325477667","https://openalex.org/W2494200571","https://openalex.org/W1965245944","https://openalex.org/W4297571003","https://openalex.org/W2072414647"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
