{"id":"https://openalex.org/W2131577826","doi":"https://doi.org/10.1137/140978880","title":"Network-Based Vertex Dissolution","display_name":"Network-Based Vertex Dissolution","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2131577826","doi":"https://doi.org/10.1137/140978880","mag":"2131577826"},"language":"en","primary_location":{"id":"doi:10.1137/140978880","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140978880","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.tue.nl/en/publications/f7c6de14-084c-4495-89c7-b254d7e56ca1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032847497","display_name":"Ren\u00e9 van Bevern","orcid":"https://orcid.org/0000-0002-4805-218X"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ren\u00e9 van Bevern","raw_affiliation_strings":["Institut f\u00fcr Softwaretechnik und Theoretische Informatik, TU Berlin, 10587 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Softwaretechnik und Theoretische Informatik, TU Berlin, 10587 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077431744","display_name":"Robert Bredereck","orcid":"https://orcid.org/0000-0002-6303-6276"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Robert Bredereck","raw_affiliation_strings":["Institut f\u00fcr Softwaretechnik und Theoretische Informatik, TU Berlin, 10587 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Softwaretechnik und Theoretische Informatik, TU Berlin, 10587 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101447443","display_name":"Jiehua Chen","orcid":"https://orcid.org/0000-0002-8163-1327"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jiehua Chen","raw_affiliation_strings":["Institut f\u00fcr Softwaretechnik und Theoretische Informatik, TU Berlin, 10587 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Softwaretechnik und Theoretische Informatik, TU Berlin, 10587 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042414939","display_name":"Vincent Froese","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Vincent Froese","raw_affiliation_strings":["Institut f\u00fcr Softwaretechnik und Theoretische Informatik, TU Berlin, 10587 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Softwaretechnik und Theoretische Informatik, TU Berlin, 10587 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033021388","display_name":"Rolf Niedermeier","orcid":"https://orcid.org/0000-0003-1703-1236"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rolf Niedermeier","raw_affiliation_strings":["Institut f\u00fcr Softwaretechnik und Theoretische Informatik, TU Berlin, 10587 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Softwaretechnik und Theoretische Informatik, TU Berlin, 10587 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080746477","display_name":"Gerhard J. Woeginger","orcid":"https://orcid.org/0000-0001-8816-2693"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Gerhard J. Woeginger","raw_affiliation_strings":["Department of Mathematics and Computer Science, TU Eindhoven, 5600 MB Eindhoven, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, TU Eindhoven, 5600 MB Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6714,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.85179222,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"29","issue":"2","first_page":"888","last_page":"914"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9968000054359436,"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":0.9968000054359436,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9955999851226807,"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":0.986299991607666,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6605697870254517},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6466203927993774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.529204249382019},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48513779044151306},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.4464164674282074},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.43911775946617126},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4086422324180603},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3428329825401306},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3275895118713379},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20002272725105286}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6605697870254517},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6466203927993774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.529204249382019},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48513779044151306},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.4464164674282074},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.43911775946617126},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4086422324180603},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3428329825401306},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3275895118713379},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20002272725105286},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/140978880","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140978880","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire/f7c6de14-084c-4495-89c7-b254d7e56ca1","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/f7c6de14-084c-4495-89c7-b254d7e56ca1","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bevern, van, R, Bredereck, R, Chen, J, Froese, V, Niedermeier, R & Woeginger, G J 2015, 'Network-based vertex dissolution', SIAM Journal on Discrete Mathematics, vol. 29, no. 2, pp. 889-914. https://doi.org/10.1137/140978880","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:1402.2664","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1402.2664","pdf_url":"https://arxiv.org/pdf/1402.2664","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.699.1850","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.699.1850","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://fpt.akt.tu-berlin.de/publications/Network-based_dissolution-SIAM.pdf","raw_type":"text"},{"id":"pmh:tue:oai:pure.tue.nl:publications/f7c6de14-084c-4495-89c7-b254d7e56ca1","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/f7c6de14-084c-4495-89c7-b254d7e56ca1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Discrete Mathematics, 29(2), 889 - 914. Society for Industrial and Applied Mathematics (SIAM)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.tue.nl:openaire/f7c6de14-084c-4495-89c7-b254d7e56ca1","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/f7c6de14-084c-4495-89c7-b254d7e56ca1","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bevern, van, R, Bredereck, R, Chen, J, Froese, V, Niedermeier, R & Woeginger, G J 2015, 'Network-based vertex dissolution', SIAM Journal on Discrete Mathematics, vol. 29, no. 2, pp. 889-914. https://doi.org/10.1137/140978880","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G3060006925","display_name":null,"funder_award_id":"NI\u00a0369/12","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3128252219","display_name":null,"funder_award_id":"NI 369/13","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7125423434","display_name":null,"funder_award_id":"369/10","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7814484817","display_name":null,"funder_award_id":"NI 369/12","funder_id":"https://openalex.org/F4320334874","funder_display_name":"Defense Acquisition Program Administration"},{"id":"https://openalex.org/G8307907932","display_name":null,"funder_award_id":"NI 369/10","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320322572","display_name":"Studienstiftung des Deutschen Volkes","ror":"https://ror.org/05xwwfy96"},{"id":"https://openalex.org/F4320324094","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40"},{"id":"https://openalex.org/F4320334874","display_name":"Defense Acquisition Program Administration","ror":"https://ror.org/04bjg9m96"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W130689240","https://openalex.org/W1507293825","https://openalex.org/W1511638527","https://openalex.org/W1517036688","https://openalex.org/W1540100966","https://openalex.org/W1570425181","https://openalex.org/W1590536690","https://openalex.org/W1857705078","https://openalex.org/W1950516683","https://openalex.org/W1977545325","https://openalex.org/W1995435632","https://openalex.org/W2025940785","https://openalex.org/W2038073775","https://openalex.org/W2054420170","https://openalex.org/W2061881283","https://openalex.org/W2064796716","https://openalex.org/W2074198833","https://openalex.org/W2088138561","https://openalex.org/W2116087731","https://openalex.org/W2117746342","https://openalex.org/W2119865296","https://openalex.org/W2132060956","https://openalex.org/W2141505357","https://openalex.org/W2145610052","https://openalex.org/W2161392628","https://openalex.org/W2488722845","https://openalex.org/W2490706771","https://openalex.org/W2951713576","https://openalex.org/W3034528871","https://openalex.org/W3123020175","https://openalex.org/W3125499885","https://openalex.org/W3145128584","https://openalex.org/W4246219036","https://openalex.org/W4301786906"],"related_works":["https://openalex.org/W4393363920","https://openalex.org/W4248744973","https://openalex.org/W4383700488","https://openalex.org/W3037015124","https://openalex.org/W3021699323","https://openalex.org/W4287780535","https://openalex.org/W1969064169","https://openalex.org/W2129100545","https://openalex.org/W2313835838","https://openalex.org/W2902222102"],"abstract_inverted_index":{"We":[0,54],"introduce":[1],"a":[2,10,50,90],"graph-theoretic":[3],"vertex":[4,76],"dissolution":[5],"model":[6,33],"that":[7],"applies":[8],"to":[9,46],"number":[11],"of":[12,31,37,43,63,82],"redistribution":[13,42],"scenarios,":[14],"such":[15],"as":[16],"gerrymandering":[17],"in":[18,24,49],"political":[19],"districting":[20],"or":[21],"work":[22],"balancing":[23],"an":[25],"online":[26],"situation.":[27],"The":[28],"central":[29],"aspect":[30],"our":[32],"is":[34],"the":[35,41,57,61,70,79,83],"deletion":[36],"certain":[38],"vertices":[39,48,65],"and":[40,69,74,95],"their":[44],"load":[45],"neighboring":[47],"completely":[51],"balanced":[52],"way.":[53],"investigate":[55],"how":[56],"underlying":[58,84],"graph":[59,85],"structure,":[60],"knowledge":[62],"which":[64],"should":[66],"be":[67],"deleted,":[68],"relation":[71],"between":[72,93],"old":[73],"new":[75],"loads":[77],"influence":[78],"computational":[80],"complexity":[81],"problems.":[86],"Our":[87],"results":[88],"establish":[89],"clear":[91],"borderline":[92],"tractable":[94],"intractable":[96],"cases.":[97]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}