{"id":"https://openalex.org/W1965948209","doi":"https://doi.org/10.1007/s003730050068","title":"On the Fractional Intersection Number of a Graph","display_name":"On the Fractional Intersection Number of a Graph","publication_year":1999,"publication_date":"1999-09-10","ids":{"openalex":"https://openalex.org/W1965948209","doi":"https://doi.org/10.1007/s003730050068","mag":"1965948209"},"language":"en","primary_location":{"id":"doi:10.1007/s003730050068","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s003730050068","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/A5112777575","display_name":"Edward R. Scheinerman","orcid":null},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Edward R. Scheinerman","raw_affiliation_strings":["Department of Mathematical Sciences, The Johns Hopkins University, Baltimore, MD 21218, USA. e-mail: ers@jhu.edu., , , , , , TP","Department of Mathematical Sciences, The Johns Hopkins University, Baltimore, MD 21218, USA. e-mail: ers@jhu.edu., TP"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, The Johns Hopkins University, Baltimore, MD 21218, USA. e-mail: ers@jhu.edu., , , , , , TP","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Department of Mathematical Sciences, The Johns Hopkins University, Baltimore, MD 21218, USA. e-mail: ers@jhu.edu., TP","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089382229","display_name":"Ann N. Trenk","orcid":"https://orcid.org/0000-0003-1145-3489"},"institutions":[{"id":"https://openalex.org/I189731429","display_name":"Wellesley College","ror":"https://ror.org/01srpnj69","country_code":"US","type":"education","lineage":["https://openalex.org/I189731429"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ann N. Trenk","raw_affiliation_strings":["Department of Mathematics, Wellesley College, Wellesley, MA 02181, USA e-mail: atrenk@wellesley.edu., , , , , , US","Department of Mathematics, Wellesley College, Wellesley, MA 02181, USA e-mail: atrenk@wellesley.edu., US"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wellesley College, Wellesley, MA 02181, USA e-mail: atrenk@wellesley.edu., , , , , , US","institution_ids":["https://openalex.org/I189731429"]},{"raw_affiliation_string":"Department of Mathematics, Wellesley College, Wellesley, MA 02181, USA e-mail: atrenk@wellesley.edu., US","institution_ids":["https://openalex.org/I189731429"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112777575"],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.10640116,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"3","first_page":"341","last_page":"351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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/T10374","display_name":"Advanced Graph Theory Research","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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9987000226974487,"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":0.996399998664856,"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":0.8433339595794678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8394105434417725},{"id":"https://openalex.org/keywords/intersection-number","display_name":"Intersection number","score":0.5915953516960144},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.5820215344429016},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5435481071472168},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5421115159988403},{"id":"https://openalex.org/keywords/intersection-graph","display_name":"Intersection graph","score":0.5028366446495056},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.4370635747909546},{"id":"https://openalex.org/keywords/interval-graph","display_name":"Interval graph","score":0.42584237456321716},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.41139328479766846},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40941932797431946},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2524212896823883},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.21933525800704956}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8433339595794678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8394105434417725},{"id":"https://openalex.org/C103368685","wikidata":"https://www.wikidata.org/wiki/Q638846","display_name":"Intersection number","level":3,"score":0.5915953516960144},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.5820215344429016},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5435481071472168},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5421115159988403},{"id":"https://openalex.org/C54540088","wikidata":"https://www.wikidata.org/wiki/Q3498041","display_name":"Intersection graph","level":4,"score":0.5028366446495056},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.4370635747909546},{"id":"https://openalex.org/C67810366","wikidata":"https://www.wikidata.org/wiki/Q835942","display_name":"Interval graph","level":5,"score":0.42584237456321716},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.41139328479766846},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40941932797431946},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2524212896823883},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.21933525800704956},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s003730050068","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s003730050068","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":9,"referenced_works":["https://openalex.org/W1214985307","https://openalex.org/W1561272249","https://openalex.org/W1996983751","https://openalex.org/W2035331304","https://openalex.org/W2068871408","https://openalex.org/W2081943295","https://openalex.org/W2143474538","https://openalex.org/W2321467776","https://openalex.org/W2905110430"],"related_works":["https://openalex.org/W2006955534","https://openalex.org/W2251679127","https://openalex.org/W2153789027","https://openalex.org/W1987143101","https://openalex.org/W1986676437","https://openalex.org/W1534996675","https://openalex.org/W1493037708","https://openalex.org/W3162605084","https://openalex.org/W2117044282","https://openalex.org/W1981728803"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}