{"id":"https://openalex.org/W157976967","doi":"https://doi.org/10.1007/978-3-642-21204-8_26","title":"Two Hardness Results on Feedback Vertex Sets","display_name":"Two Hardness Results on Feedback Vertex Sets","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W157976967","doi":"https://doi.org/10.1007/978-3-642-21204-8_26","mag":"157976967"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-21204-8_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21204-8_26","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5113806208","display_name":"Wei Jiang","orcid":"https://orcid.org/0000-0001-6672-9783"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Jiang","raw_affiliation_strings":["Key Laboratory of High Confidence Software Technologies, Ministry of Education, Institute of Software, School of Electronic Engineering and Computer Science, Peking University, Beijing, China","Key Laboratory of High Confidence Software Technologies, Ministry of Education, Peking University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of High Confidence Software Technologies, Ministry of Education, Institute of Software, School of Electronic Engineering and Computer Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I20231570"]},{"raw_affiliation_string":"Key Laboratory of High Confidence Software Technologies, Ministry of Education, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100365651","display_name":"Tian Liu","orcid":"https://orcid.org/0000-0002-4587-4399"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tian Liu","raw_affiliation_strings":["Key Laboratory of High Confidence Software Technologies, Ministry of Education, Institute of Software, School of Electronic Engineering and Computer Science, Peking University, Beijing, China","Key Laboratory of High Confidence Software Technologies, Ministry of Education, Peking University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of High Confidence Software Technologies, Ministry of Education, Institute of Software, School of Electronic Engineering and Computer Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I20231570"]},{"raw_affiliation_string":"Key Laboratory of High Confidence Software Technologies, Ministry of Education, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003454581","display_name":"Tienan Ren","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tienan Ren","raw_affiliation_strings":["Key Laboratory of High Confidence Software Technologies, Ministry of Education, Institute of Software, School of Electronic Engineering and Computer Science, Peking University, Beijing, China","Key Laboratory of High Confidence Software Technologies, Ministry of Education, Peking University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of High Confidence Software Technologies, Ministry of Education, Institute of Software, School of Electronic Engineering and Computer Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I20231570"]},{"raw_affiliation_string":"Key Laboratory of High Confidence Software Technologies, Ministry of Education, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100665809","display_name":"Ke Xu","orcid":"https://orcid.org/0000-0001-8669-3909"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Xu","raw_affiliation_strings":["National Lab of Software Development Environment, School of Computers, Beihang University, Beijing, China","National Lab of Software Development Environment, Beihang University, Beijing\u00a0, China"],"affiliations":[{"raw_affiliation_string":"National Lab of Software Development Environment, School of Computers, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"National Lab of Software Development Environment, Beihang University, Beijing\u00a0, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5113806208"],"corresponding_institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4210128818"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":7.0042,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.97509804,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"233","last_page":"243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9987000226974487,"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":0.9944000244140625,"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":0.7896878123283386},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.697076141834259},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6641113758087158},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5393877029418945},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5383983254432678},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.5365104675292969},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4865759611129761},{"id":"https://openalex.org/keywords/star","display_name":"Star (game theory)","score":0.42030981183052063},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4102778732776642},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35852915048599243},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04593038558959961}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7896878123283386},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.697076141834259},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6641113758087158},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5393877029418945},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5383983254432678},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.5365104675292969},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4865759611129761},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.42030981183052063},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4102778732776642},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35852915048599243},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04593038558959961},{"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:10.1007/978-3-642-21204-8_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21204-8_26","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.6700000166893005,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W108214179","https://openalex.org/W173817153","https://openalex.org/W390146837","https://openalex.org/W1020382673","https://openalex.org/W1505245505","https://openalex.org/W1507341838","https://openalex.org/W1539750200","https://openalex.org/W1540774993","https://openalex.org/W1575434249","https://openalex.org/W1595409123","https://openalex.org/W1649875919","https://openalex.org/W1651118527","https://openalex.org/W1709155369","https://openalex.org/W1813769739","https://openalex.org/W1826506799","https://openalex.org/W1917117683","https://openalex.org/W1975442866","https://openalex.org/W1978731130","https://openalex.org/W1979312598","https://openalex.org/W1982420787","https://openalex.org/W1985300267","https://openalex.org/W1990734013","https://openalex.org/W1992661305","https://openalex.org/W1995044685","https://openalex.org/W1995885398","https://openalex.org/W2000338110","https://openalex.org/W2002052439","https://openalex.org/W2011576340","https://openalex.org/W2015905456","https://openalex.org/W2016590962","https://openalex.org/W2020044991","https://openalex.org/W2038177235","https://openalex.org/W2047470084","https://openalex.org/W2047739168","https://openalex.org/W2066356146","https://openalex.org/W2067372123","https://openalex.org/W2079330337","https://openalex.org/W2081880478","https://openalex.org/W2083197082","https://openalex.org/W2085826829","https://openalex.org/W2088180270","https://openalex.org/W2115051629","https://openalex.org/W2139300273","https://openalex.org/W2141925838","https://openalex.org/W2145887405","https://openalex.org/W2146221397","https://openalex.org/W2151720296","https://openalex.org/W2171103562","https://openalex.org/W2243410218","https://openalex.org/W2401610261","https://openalex.org/W2478722229","https://openalex.org/W2503431160","https://openalex.org/W2899702797","https://openalex.org/W3101258912","https://openalex.org/W3102351898","https://openalex.org/W3142570770","https://openalex.org/W3143219376","https://openalex.org/W3144881883","https://openalex.org/W4252973173","https://openalex.org/W4312512934"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2372768926","https://openalex.org/W2999799752","https://openalex.org/W2080136900","https://openalex.org/W2054458431","https://openalex.org/W3013576436","https://openalex.org/W2115167491","https://openalex.org/W2567825307"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}