{"id":"https://openalex.org/W1631641058","doi":"https://doi.org/10.1007/978-3-662-44465-8_22","title":"Minimum Bisection Is NP-hard on Unit Disk Graphs","display_name":"Minimum Bisection Is NP-hard on Unit Disk Graphs","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1631641058","doi":"https://doi.org/10.1007/978-3-662-44465-8_22","mag":"1631641058"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-44465-8_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-44465-8_22","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://dro.dur.ac.uk/19737/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037690759","display_name":"Josep D\u0131\u0301az","orcid":"https://orcid.org/0000-0003-4422-0067"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Josep D\u00edaz","raw_affiliation_strings":["Departament de Llenguatges i Sistemes Inform\u00e1tics, Universitat Polit\u00e9cnica de Catalunya, Spain","Departament de Llenguatges i Sistemes Inform\u00e1tics, Universitat Polit\u00e8cnica de Catalunya, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Llenguatges i Sistemes Inform\u00e1tics, Universitat Polit\u00e9cnica de Catalunya, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Departament de Llenguatges i Sistemes Inform\u00e1tics, Universitat Polit\u00e8cnica de Catalunya, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018078197","display_name":"George B. Mertzios","orcid":"https://orcid.org/0000-0001-7182-585X"},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"George B. Mertzios","raw_affiliation_strings":["School of Engineering and Computing Sciences, Durham University, UK","School of Engineering and Computing Sciences; Durham University; UK"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Computing Sciences, Durham University, UK","institution_ids":["https://openalex.org/I190082696"]},{"raw_affiliation_string":"School of Engineering and Computing Sciences; Durham University; UK","institution_ids":["https://openalex.org/I190082696"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018078197"],"corresponding_institution_ids":["https://openalex.org/I190082696"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.04348976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"256","issue":null,"first_page":"251","last_page":"262"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9950000047683716,"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":0.9950000047683716,"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/T12288","display_name":"Optimization and Search Problems","score":0.9871000051498413,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.6231193542480469},{"id":"https://openalex.org/keywords/unit-disk","display_name":"Unit disk","score":0.5670105814933777},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5295974612236023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48483407497406006},{"id":"https://openalex.org/keywords/bisection","display_name":"Bisection","score":0.47146493196487427},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.430730938911438},{"id":"https://openalex.org/keywords/unit-disk-graph","display_name":"Unit disk graph","score":0.4286271333694458},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3750108480453491},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1493629813194275},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.106223464012146}],"concepts":[{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.6231193542480469},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.5670105814933777},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5295974612236023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48483407497406006},{"id":"https://openalex.org/C31599958","wikidata":"https://www.wikidata.org/wiki/Q3128632","display_name":"Bisection","level":2,"score":0.47146493196487427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.430730938911438},{"id":"https://openalex.org/C130184317","wikidata":"https://www.wikidata.org/wiki/Q3115549","display_name":"Unit disk graph","level":4,"score":0.4286271333694458},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3750108480453491},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1493629813194275},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.106223464012146},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"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/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/978-3-662-44465-8_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-44465-8_22","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"},{"id":"doi:10.1016/j.ic.2017.04.010","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ic.2017.04.010","pdf_url":null,"source":{"id":"https://openalex.org/S59933527","display_name":"Information and Computation","issn_l":"0890-5401","issn":["0890-5401","1090-2651"],"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":"Information and Computation","raw_type":"journal-article"},{"id":"pmh:oai:dro.dur.ac.uk.OAI2:13476","is_oa":false,"landing_page_url":"http://dro.dur.ac.uk/13476/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196258","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Csuhaj-Varj\u00fa,  Erzs\u00e9bet  & Dietzfelbinger,  Martin & \u00c9sik,  Zolt\u00e1n (Eds.).  Mathematical foundations of computer science 2014 : 39th international symposium, MFCS 2014, Budapest, Hungary, August 25-29, 2014. Proceedings, part II. Berlin, Heidelberg: Springer, pp. 251-262, Lecture notes in computer science(8635)","raw_type":"Book chapter"},{"id":"pmh:oai:dro.dur.ac.uk.OAI2:19737","is_oa":true,"landing_page_url":"http://dro.dur.ac.uk/19737/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196258","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Information and computation, 2017, Vol.256, pp.83-92 [Peer Reviewed Journal]","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1404.0117","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.0117","pdf_url":"https://arxiv.org/pdf/1404.0117","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:1631641058","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1404.0117","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1404.0117","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1404.0117","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:dro.dur.ac.uk.OAI2:19737","is_oa":true,"landing_page_url":"http://dro.dur.ac.uk/19737/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196258","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Information and computation, 2017, Vol.256, pp.83-92 [Peer Reviewed Journal]","raw_type":"Article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.550000011920929}],"awards":[{"id":"https://openalex.org/G6214505137","display_name":null,"funder_award_id":"EP/K022660/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7325551107","display_name":"Algorithmic Aspects of Intersection Graph Models","funder_award_id":"EP/K022660/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G967227458","display_name":null,"funder_award_id":"EP/P020372/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W18869936","https://openalex.org/W131283763","https://openalex.org/W1499770711","https://openalex.org/W1842538366","https://openalex.org/W1982378203","https://openalex.org/W2011039300","https://openalex.org/W2019635018","https://openalex.org/W2045027193","https://openalex.org/W2063572899","https://openalex.org/W2079966248","https://openalex.org/W2088647669","https://openalex.org/W2126641717","https://openalex.org/W2161455936","https://openalex.org/W2168452204","https://openalex.org/W2169528477","https://openalex.org/W2255388485","https://openalex.org/W2301629032","https://openalex.org/W3139448511","https://openalex.org/W4244515895","https://openalex.org/W6605292314","https://openalex.org/W6629853079","https://openalex.org/W6661829240","https://openalex.org/W6662639761","https://openalex.org/W6678631560","https://openalex.org/W6683435597","https://openalex.org/W6734518175","https://openalex.org/W6990517664"],"related_works":["https://openalex.org/W3121505928","https://openalex.org/W113175115","https://openalex.org/W2255918050","https://openalex.org/W1660558358","https://openalex.org/W966479573","https://openalex.org/W2082806890","https://openalex.org/W3082723381","https://openalex.org/W1605196620","https://openalex.org/W3046172180","https://openalex.org/W1520028909","https://openalex.org/W1506563608","https://openalex.org/W2953059377","https://openalex.org/W2765586553","https://openalex.org/W1990809933","https://openalex.org/W2025762780","https://openalex.org/W2474440412","https://openalex.org/W2186826687","https://openalex.org/W1982713256","https://openalex.org/W2162275416","https://openalex.org/W2997214368"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2016-06-24T00:00:00"}