{"id":"https://openalex.org/W401735167","doi":"https://doi.org/10.1007/bf02257778","title":"\u03b1-Vertex separator is NP-hard even for 3-regular graphs","display_name":"\u03b1-Vertex separator is NP-hard even for 3-regular graphs","publication_year":1991,"publication_date":"1991-12-01","ids":{"openalex":"https://openalex.org/W401735167","doi":"https://doi.org/10.1007/bf02257778","mag":"401735167"},"language":"en","primary_location":{"id":"doi:10.1007/bf02257778","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02257778","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5113493367","display_name":"Rudolf M\u00fcller","orcid":"https://orcid.org/0000-0002-4089-290X"},"institutions":[{"id":"https://openalex.org/I4210166048","display_name":"Gesellschaft Fur Mathematik Und Datenverarbeitung","ror":"https://ror.org/02g6d4t03","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210166048"]},{"id":"https://openalex.org/I2800345347","display_name":"Berlin Mathematical School","ror":"https://ror.org/03zekj455","country_code":"DE","type":"education","lineage":["https://openalex.org/I2800345347"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"R. M\u00fcller","raw_affiliation_strings":["Fachbereich Mathematik, Stra\u00dfe des 17. Juni, D-W-1000, Berlin 12, Federal Republic of Germany","Fachbereich Mathematik, Berlin 12, Federal Republic of Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Stra\u00dfe des 17. Juni, D-W-1000, Berlin 12, Federal Republic of Germany","institution_ids":["https://openalex.org/I4210166048"]},{"raw_affiliation_string":"Fachbereich Mathematik, Berlin 12, Federal Republic of Germany","institution_ids":["https://openalex.org/I2800345347"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045460793","display_name":"Dorothea Wagner","orcid":"https://orcid.org/0000-0002-9141-7076"},"institutions":[{"id":"https://openalex.org/I4210166048","display_name":"Gesellschaft Fur Mathematik Und Datenverarbeitung","ror":"https://ror.org/02g6d4t03","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210166048"]},{"id":"https://openalex.org/I2800345347","display_name":"Berlin Mathematical School","ror":"https://ror.org/03zekj455","country_code":"DE","type":"education","lineage":["https://openalex.org/I2800345347"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"D. Wagner","raw_affiliation_strings":["Fachbereich Mathematik, Stra\u00dfe des 17. Juni, D-W-1000, Berlin 12, Federal Republic of Germany","Fachbereich Mathematik, Berlin 12, Federal Republic of Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Stra\u00dfe des 17. Juni, D-W-1000, Berlin 12, Federal Republic of Germany","institution_ids":["https://openalex.org/I4210166048"]},{"raw_affiliation_string":"Fachbereich Mathematik, Berlin 12, Federal Republic of Germany","institution_ids":["https://openalex.org/I2800345347"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113493367"],"corresponding_institution_ids":["https://openalex.org/I2800345347","https://openalex.org/I4210166048"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4763,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.66235405,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"46","issue":"4","first_page":"343","last_page":"353"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9998000264167786,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/combinatorics","display_name":"Combinatorics","score":0.5419164896011353},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5210372805595398},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46062272787094116},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.45869582891464233},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.4572013318538666},{"id":"https://openalex.org/keywords/np-complete","display_name":"NP-complete","score":0.45656853914260864},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4288327097892761},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.4183325469493866},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.41333678364753723},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39787787199020386},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.3480009138584137},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3207271695137024},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.26861846446990967},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.23774629831314087},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10912251472473145}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5419164896011353},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5210372805595398},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46062272787094116},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.45869582891464233},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.4572013318538666},{"id":"https://openalex.org/C122749075","wikidata":"https://www.wikidata.org/wiki/Q215206","display_name":"NP-complete","level":3,"score":0.45656853914260864},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4288327097892761},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.4183325469493866},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.41333678364753723},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39787787199020386},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.3480009138584137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3207271695137024},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.26861846446990967},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.23774629831314087},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10912251472473145}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02257778","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02257778","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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":9,"referenced_works":["https://openalex.org/W2006912560","https://openalex.org/W2030087828","https://openalex.org/W2038643780","https://openalex.org/W2049413646","https://openalex.org/W2126641717","https://openalex.org/W2148043549","https://openalex.org/W2153362081","https://openalex.org/W2157211828","https://openalex.org/W4243764894"],"related_works":["https://openalex.org/W2031276298","https://openalex.org/W3130332934","https://openalex.org/W4361825306","https://openalex.org/W2362011785","https://openalex.org/W4226049246","https://openalex.org/W1587794359","https://openalex.org/W2898526288","https://openalex.org/W2749707280","https://openalex.org/W2061237693","https://openalex.org/W2953055080"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
