{"id":"https://openalex.org/W2008097118","doi":"https://doi.org/10.1007/s00493-007-2086-y","title":"Independent systems of representatives in weighted graphs","display_name":"Independent systems of representatives in weighted graphs","publication_year":2007,"publication_date":"2007-05-01","ids":{"openalex":"https://openalex.org/W2008097118","doi":"https://doi.org/10.1007/s00493-007-2086-y","mag":"2008097118"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-007-2086-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-007-2086-y","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","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/A5059026447","display_name":"Ron Aharoni","orcid":"https://orcid.org/0000-0002-1768-1901"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Ron Aharoni","raw_affiliation_strings":["Department of Mathematics Technion, Haifa, 32000, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Technion, Haifa, 32000, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070022452","display_name":"Eli Berger","orcid":"https://orcid.org/0000-0002-2597-8772"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]},{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Eli Berger","raw_affiliation_strings":["Department of Mathematics Technion, Haifa, 32000, Israel","Department of Mathematics, Princeton University, Haifa, 32000, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Technion, Haifa, 32000, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Mathematics, Princeton University, Haifa, 32000, Israel","institution_ids":["https://openalex.org/I91203450"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006212773","display_name":"Ziv Ran","orcid":"https://orcid.org/0000-0001-7863-0078"},"institutions":[{"id":"https://openalex.org/I68147069","display_name":"Tel Hai Academic College","ror":"https://ror.org/009st3569","country_code":"IL","type":"education","lineage":["https://openalex.org/I68147069"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ran Ziv","raw_affiliation_strings":["Department of Computer Science, Tel-Hai Academic College, Upper Galilee, 12210, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Tel-Hai Academic College, Upper Galilee, 12210, Israel","institution_ids":["https://openalex.org/I68147069"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059026447"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":5.8542,"has_fulltext":false,"cited_by_count":94,"citation_normalized_percentile":{"value":0.96433718,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"27","issue":"3","first_page":"253","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.983299970626831,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.983299970626831,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9650999903678894,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8521144390106201},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8138463497161865},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7941577434539795},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5894853472709656},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5409849882125854},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.5021421909332275},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.47786587476730347},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4452402591705322},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.10750716924667358},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.08168473839759827}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8521144390106201},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8138463497161865},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7941577434539795},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5894853472709656},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5409849882125854},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.5021421909332275},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.47786587476730347},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4452402591705322},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.10750716924667358},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.08168473839759827},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00493-007-2086-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-007-2086-y","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","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":16,"referenced_works":["https://openalex.org/W1965802316","https://openalex.org/W1987360476","https://openalex.org/W1993446652","https://openalex.org/W2011158566","https://openalex.org/W2025328375","https://openalex.org/W2039249718","https://openalex.org/W2043399762","https://openalex.org/W2063292248","https://openalex.org/W2064536540","https://openalex.org/W2069550402","https://openalex.org/W2085366727","https://openalex.org/W2093066443","https://openalex.org/W2119305988","https://openalex.org/W2164386355","https://openalex.org/W2911463656","https://openalex.org/W4241906804"],"related_works":["https://openalex.org/W2371138613","https://openalex.org/W3194471551","https://openalex.org/W2048963458","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W4302778552","https://openalex.org/W2359963263","https://openalex.org/W1527284691","https://openalex.org/W2376429411","https://openalex.org/W4387813349"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}