{"id":"https://openalex.org/W1890004479","doi":"https://doi.org/10.1007/978-3-540-85097-7_24","title":"Polynomial Time Approximation Scheme for Connected Vertex Cover in Unit Disk Graph","display_name":"Polynomial Time Approximation Scheme for Connected Vertex Cover in Unit Disk Graph","publication_year":2008,"publication_date":"2008-08-19","ids":{"openalex":"https://openalex.org/W1890004479","doi":"https://doi.org/10.1007/978-3-540-85097-7_24","mag":"1890004479"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-85097-7_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85097-7_24","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/A5100423055","display_name":"Zhao Zhang","orcid":"https://orcid.org/0000-0003-4191-7598"},"institutions":[{"id":"https://openalex.org/I55022517","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975","country_code":"CN","type":"education","lineage":["https://openalex.org/I55022517"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhao Zhang","raw_affiliation_strings":["College of Mathematics and System Sciences, Xingjiang University, Urmuqi, China","College of Mathematics and System Sciences, Xingjiang University, Urmuqi, China#TAB#"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xingjiang University, Urmuqi, China","institution_ids":["https://openalex.org/I55022517"]},{"raw_affiliation_string":"College of Mathematics and System Sciences, Xingjiang University, Urmuqi, China#TAB#","institution_ids":["https://openalex.org/I55022517"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019439900","display_name":"Xiaofeng Gao","orcid":"https://orcid.org/0000-0003-1776-8799"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaofeng Gao","raw_affiliation_strings":["Department of Computer Science, University of Texas at Dallas, Richardson, USA","Department of Computer Science, University of Texas at Dallas, Richardson, USA TX 75083"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at Dallas, Richardson, USA","institution_ids":["https://openalex.org/I162577319"]},{"raw_affiliation_string":"Department of Computer Science, University of Texas at Dallas, Richardson, USA TX 75083","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070037321","display_name":"Weili Wu","orcid":"https://orcid.org/0000-0001-8747-6340"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weili Wu","raw_affiliation_strings":["Department of Computer Science, University of Texas at Dallas, Richardson, USA","Department of Computer Science, University of Texas at Dallas, Richardson, USA TX 75083"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at Dallas, Richardson, USA","institution_ids":["https://openalex.org/I162577319"]},{"raw_affiliation_string":"Department of Computer Science, University of Texas at Dallas, Richardson, USA TX 75083","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100423055"],"corresponding_institution_ids":["https://openalex.org/I55022517"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7723,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72142705,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"255","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9991000294685364,"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/vertex-cover","display_name":"Vertex cover","score":0.8474024534225464},{"id":"https://openalex.org/keywords/unit-disk-graph","display_name":"Unit disk graph","score":0.7862579822540283},{"id":"https://openalex.org/keywords/polynomial-time-approximation-scheme","display_name":"Polynomial-time approximation scheme","score":0.7067558169364929},{"id":"https://openalex.org/keywords/edge-cover","display_name":"Edge cover","score":0.6783552169799805},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5824418663978577},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5449458956718445},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5338970422744751},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5233832597732544},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.500521183013916},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.47099846601486206},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46690091490745544},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.46362924575805664},{"id":"https://openalex.org/keywords/unit-disk","display_name":"Unit disk","score":0.45902615785598755},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.455194354057312},{"id":"https://openalex.org/keywords/feedback-vertex-set","display_name":"Feedback vertex set","score":0.4399015009403229},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37727510929107666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29709720611572266},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25719916820526123},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.05884703993797302}],"concepts":[{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.8474024534225464},{"id":"https://openalex.org/C130184317","wikidata":"https://www.wikidata.org/wiki/Q3115549","display_name":"Unit disk graph","level":4,"score":0.7862579822540283},{"id":"https://openalex.org/C99140742","wikidata":"https://www.wikidata.org/wiki/Q843550","display_name":"Polynomial-time approximation scheme","level":3,"score":0.7067558169364929},{"id":"https://openalex.org/C17762858","wikidata":"https://www.wikidata.org/wiki/Q594001","display_name":"Edge cover","level":3,"score":0.6783552169799805},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5824418663978577},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5449458956718445},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5338970422744751},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5233832597732544},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.500521183013916},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.47099846601486206},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46690091490745544},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.46362924575805664},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.45902615785598755},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.455194354057312},{"id":"https://openalex.org/C28723256","wikidata":"https://www.wikidata.org/wiki/Q1400918","display_name":"Feedback vertex set","level":4,"score":0.4399015009403229},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37727510929107666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29709720611572266},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25719916820526123},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.05884703993797302},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.0},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"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:10.1007/978-3-540-85097-7_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85097-7_24","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W75155422","https://openalex.org/W117318854","https://openalex.org/W1842538366","https://openalex.org/W1981466335","https://openalex.org/W1990313671","https://openalex.org/W2020112047","https://openalex.org/W2022082910","https://openalex.org/W2038225707","https://openalex.org/W2041605864","https://openalex.org/W2055805234","https://openalex.org/W2065161629","https://openalex.org/W2066356146","https://openalex.org/W2084112594","https://openalex.org/W2094511120","https://openalex.org/W2140936100","https://openalex.org/W2401610261","https://openalex.org/W4241764762"],"related_works":["https://openalex.org/W2156896570","https://openalex.org/W1566660502","https://openalex.org/W2025716666","https://openalex.org/W2079263399","https://openalex.org/W1558145674","https://openalex.org/W2544075308","https://openalex.org/W1502186998","https://openalex.org/W2963353311","https://openalex.org/W2043560626","https://openalex.org/W1890004479"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}