{"id":"https://openalex.org/W2050565077","doi":"https://doi.org/10.1016/0166-218x(85)90057-5","title":"Solving NP-hard problems in \u2018almost trees\u2019: Vertex cover","display_name":"Solving NP-hard problems in \u2018almost trees\u2019: Vertex cover","publication_year":1985,"publication_date":"1985-01-01","ids":{"openalex":"https://openalex.org/W2050565077","doi":"https://doi.org/10.1016/0166-218x(85)90057-5","mag":"2050565077"},"language":"en","primary_location":{"id":"doi:10.1016/0166-218x(85)90057-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(85)90057-5","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"Discrete Applied Mathematics","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/A5067588072","display_name":"Don Coppersmith","orcid":null},"institutions":[{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Don Coppersmith","raw_affiliation_strings":["Mathematical Sciences Department, IBM Thomas J. Watson Research Center, Yorktown Heights, NY 10598, USA"],"affiliations":[{"raw_affiliation_string":"Mathematical Sciences Department, IBM Thomas J. Watson Research Center, Yorktown Heights, NY 10598, USA","institution_ids":["https://openalex.org/I4210114115"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013018127","display_name":"Uzi Vishkin","orcid":"https://orcid.org/0000-0003-0713-2674"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Uzi Vishkin","raw_affiliation_strings":["Department of Computer Science, Tel Aviv University, Tel-Aviv, 69978, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Tel Aviv University, Tel-Aviv, 69978, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067588072"],"corresponding_institution_ids":["https://openalex.org/I4210114115"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":2.077,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.87174789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"1","first_page":"27","last_page":"45"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9995999932289124,"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":0.9995999932289124,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991999864578247,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.8015278577804565},{"id":"https://openalex.org/keywords/vertex-cover","display_name":"Vertex cover","score":0.7267186641693115},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6297298669815063},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5661185383796692},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.5214778184890747},{"id":"https://openalex.org/keywords/edge-cover","display_name":"Edge cover","score":0.5061618685722351},{"id":"https://openalex.org/keywords/np-complete","display_name":"NP-complete","score":0.42460909485816956},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35427621006965637},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.28712597489356995},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1895291805267334}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8015278577804565},{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.7267186641693115},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6297298669815063},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5661185383796692},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.5214778184890747},{"id":"https://openalex.org/C17762858","wikidata":"https://www.wikidata.org/wiki/Q594001","display_name":"Edge cover","level":3,"score":0.5061618685722351},{"id":"https://openalex.org/C122749075","wikidata":"https://www.wikidata.org/wiki/Q215206","display_name":"NP-complete","level":3,"score":0.42460909485816956},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35427621006965637},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.28712597489356995},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1895291805267334},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0166-218x(85)90057-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(85)90057-5","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"Discrete Applied Mathematics","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":6,"referenced_works":["https://openalex.org/W1987698099","https://openalex.org/W1995040285","https://openalex.org/W2011039300","https://openalex.org/W2097004206","https://openalex.org/W2097844290","https://openalex.org/W2118382442"],"related_works":["https://openalex.org/W2063671489","https://openalex.org/W1566660502","https://openalex.org/W4386180124","https://openalex.org/W2056303072","https://openalex.org/W4376639639","https://openalex.org/W2089074354","https://openalex.org/W2126429697","https://openalex.org/W41549461","https://openalex.org/W2181572306","https://openalex.org/W4213152370"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
