{"id":"https://openalex.org/W2954314474","doi":"https://doi.org/10.23919/ecc.2019.8795723","title":"The price of connectedness in graph partitioning problems","display_name":"The price of connectedness in graph partitioning problems","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W2954314474","doi":"https://doi.org/10.23919/ecc.2019.8795723","mag":"2954314474"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2019.8795723","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2019.8795723","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 18th European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.archives-ouvertes.fr/hal-02171099","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101726694","display_name":"Nicolas Martin","orcid":"https://orcid.org/0000-0002-8175-110X"},"institutions":[{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Martin","raw_affiliation_strings":["Univ. Grenoble Alpes, GIPSA-Lab, Grenoble, France","NECS-POST - Syst\u00e8mes Command\u00e9s en R\u00e9seau (Inovall\u00e9e \r\n655 avenue de l'Europe38330 Montbonnot \r\n\r\nGIPSA-lab \r\n11 rue des Math\u00e9matiques, Grenoble Campus \r\nBP46\r\nF-38402 SAINT MARTIN D'HERES CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Grenoble Alpes, GIPSA-Lab, Grenoble, France","institution_ids":["https://openalex.org/I4210124956","https://openalex.org/I899635006"]},{"raw_affiliation_string":"NECS-POST - Syst\u00e8mes Command\u00e9s en R\u00e9seau (Inovall\u00e9e \r\n655 avenue de l'Europe38330 Montbonnot \r\n\r\nGIPSA-lab \r\n11 rue des Math\u00e9matiques, Grenoble Campus \r\nBP46\r\nF-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050626793","display_name":"Paolo Frasca","orcid":"https://orcid.org/0000-0003-0962-3119"},"institutions":[{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Paolo Frasca","raw_affiliation_strings":["Univ. Grenoble Alpes, GIPSA-Lab, Grenoble, France","NECS-POST - Syst\u00e8mes Command\u00e9s en R\u00e9seau (Inovall\u00e9e \r\n655 avenue de l'Europe38330 Montbonnot \r\n\r\nGIPSA-lab \r\n11 rue des Math\u00e9matiques, Grenoble Campus \r\nBP46\r\nF-38402 SAINT MARTIN D'HERES CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Grenoble Alpes, GIPSA-Lab, Grenoble, France","institution_ids":["https://openalex.org/I4210124956","https://openalex.org/I899635006"]},{"raw_affiliation_string":"NECS-POST - Syst\u00e8mes Command\u00e9s en R\u00e9seau (Inovall\u00e9e \r\n655 avenue de l'Europe38330 Montbonnot \r\n\r\nGIPSA-lab \r\n11 rue des Math\u00e9matiques, Grenoble Campus \r\nBP46\r\nF-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101428442","display_name":"Takayuki Ishizaki","orcid":"https://orcid.org/0000-0002-0144-4506"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takayuki Ishizaki","raw_affiliation_strings":["Department of Systems and Control Engineering, Tokyo Institute of Technology, Tokyo, Japan","TITECH - Tokyo Institute of Technology [Tokyo] (2-12-1 Ookayama, Meguro-ku, Tokyo, 152-8550 - Japon)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems and Control Engineering, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"TITECH - Tokyo Institute of Technology [Tokyo] (2-12-1 Ookayama, Meguro-ku, Tokyo, 152-8550 - Japon)","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001435105","display_name":"Jun\u2010ichi Imura","orcid":"https://orcid.org/0000-0002-9273-134X"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jun-Ichi Imura","raw_affiliation_strings":["Department of Systems and Control Engineering, Tokyo Institute of Technology, Tokyo, Japan","TITECH - Tokyo Institute of Technology [Tokyo] (2-12-1 Ookayama, Meguro-ku, Tokyo, 152-8550 - Japon)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems and Control Engineering, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"TITECH - Tokyo Institute of Technology [Tokyo] (2-12-1 Ookayama, Meguro-ku, Tokyo, 152-8550 - Japon)","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024865861","display_name":"Carlos Canudas de Wit","orcid":"https://orcid.org/0000-0002-5056-0060"},"institutions":[{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Carlos Canudas-de-Wit","raw_affiliation_strings":["CNRS, GIPSA-lab","NECS-POST - Syst\u00e8mes Command\u00e9s en R\u00e9seau (Inovall\u00e9e \r\n655 avenue de l'Europe38330 Montbonnot \r\n\r\nGIPSA-lab \r\n11 rue des Math\u00e9matiques, Grenoble Campus \r\nBP46\r\nF-38402 SAINT MARTIN D'HERES CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, GIPSA-lab","institution_ids":["https://openalex.org/I4210124956"]},{"raw_affiliation_string":"NECS-POST - Syst\u00e8mes Command\u00e9s en R\u00e9seau (Inovall\u00e9e \r\n655 avenue de l'Europe38330 Montbonnot \r\n\r\nGIPSA-lab \r\n11 rue des Math\u00e9matiques, Grenoble Campus \r\nBP46\r\nF-38402 SAINT MARTIN D'HERES CEDEX - France)","institution_ids":["https://openalex.org/I4210124956"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2313","last_page":"2318"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9854000210762024,"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/T12288","display_name":"Optimization and Search Problems","score":0.9854000210762024,"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/T11182","display_name":"Auction Theory and Applications","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9688000082969666,"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/social-connectedness","display_name":"Social connectedness","score":0.9312403202056885},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5888695120811462},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5722641348838806},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4963603615760803},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.489760160446167},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4749241769313812},{"id":"https://openalex.org/keywords/graph-partition","display_name":"Graph partition","score":0.4629666805267334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45565107464790344},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4236820340156555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41836804151535034},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.41371840238571167},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3769964575767517}],"concepts":[{"id":"https://openalex.org/C201943243","wikidata":"https://www.wikidata.org/wiki/Q7551008","display_name":"Social connectedness","level":2,"score":0.9312403202056885},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5888695120811462},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5722641348838806},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4963603615760803},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.489760160446167},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4749241769313812},{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.4629666805267334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45565107464790344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4236820340156555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41836804151535034},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.41371840238571167},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3769964575767517},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","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":4,"locations":[{"id":"doi:10.23919/ecc.2019.8795723","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2019.8795723","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 18th European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02171099v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02171099","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"ECC 2019 - European Control Conference","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:HAL:hal-02171099v2","is_oa":true,"landing_page_url":"https://hal.science/hal-02171099","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"https://ecc19.eu/","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:t2r2.star.titech.ac.jp:50523023","is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100821772","pdf_url":null,"source":{"id":"https://openalex.org/S4377196385","display_name":"Tokyo Tech Research Repository (Tokyo Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114531698","host_organization_name":"Tokyo Institute of Technology","host_organization_lineage":["https://openalex.org/I114531698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02171099v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02171099","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"ECC 2019 - European Control Conference","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5398711495","display_name":"Glocal Traffic Control of Next Generation Transportation Systems","funder_award_id":"18H03774","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W45490988","https://openalex.org/W1533368239","https://openalex.org/W1891861977","https://openalex.org/W1981434751","https://openalex.org/W1996849008","https://openalex.org/W2002341954","https://openalex.org/W2009484965","https://openalex.org/W2029647516","https://openalex.org/W2151700392","https://openalex.org/W2576142414","https://openalex.org/W2894212516","https://openalex.org/W3142570770","https://openalex.org/W3143219376","https://openalex.org/W6601836522","https://openalex.org/W6793127252"],"related_works":["https://openalex.org/W3125761283","https://openalex.org/W2164081328","https://openalex.org/W1976722080","https://openalex.org/W3092556108","https://openalex.org/W2117372696","https://openalex.org/W3152831473","https://openalex.org/W3044931971","https://openalex.org/W1995672666","https://openalex.org/W3008541637","https://openalex.org/W2078521380"],"abstract_inverted_index":{"In":[0,20,42],"this":[1,157],"work,":[2],"we":[3,99,111,159],"present":[4,135],"some":[5],"results":[6],"coming":[7],"from":[8],"the":[9,21,32,43,55,69,72,84,88,92,102,115,121,124,128,141,165,174],"comparison":[10],"of":[11,14,16,24,46,50,58,71,91,104,117,123,143],"two":[12,145],"classes":[13],"problems":[15],"optimal":[17,56,89],"graph":[18,170,180],"partitioning.":[19],"first":[22],"class":[23,45],"problem,":[25,29,47],"called":[26],"further":[27],"constrained":[28,74,131],"ones":[30],"impose":[31],"nodes":[33],"belonging":[34],"to":[35,39,68,80,113,155],"a":[36,108,137,148],"same":[37],"cluster":[38],"be":[40],"connected.":[41],"second":[44],"no":[48],"constraint":[49,86],"connectedness":[51,85,118],"is":[52,62,77,97,171],"imposed.":[53],"Obviously,":[54],"solution":[57,70,90],"an":[59,162,168,178],"unconstrained":[60,129],"problem":[61],"always":[63],"better":[64],"than":[65],"or":[66],"equal":[67],"corresponding":[73],"problem.":[75,94],"It":[76],"thus":[78],"interesting":[79],"estimate":[81,114],"how":[82],"much":[83],"degrades":[87],"partitioning":[93],"This":[95],"degradation":[96],"what":[98],"call":[100],"here":[101],"price":[103,116],"connectedness.":[105],"Motivated":[106],"by":[107,119],"numerical":[109],"example,":[110],"propose":[112],"comparing":[120],"cardinalities":[122,146],"feasible":[125],"sets":[126],"in":[127],"and":[130,173],"optimisation":[132],"problems.":[133],"We":[134],"then":[136],"tight":[138],"upper-bound":[139,163],"on":[140,164],"ratio":[142],"these":[144],"for":[147],"directed":[149],"Erd\u0151s-R\u00e9nyi":[150,169,179],"graph.":[151],"On":[152],"our":[153],"way":[154],"set":[156],"result":[158],"also":[160],"derive":[161],"probability":[166,176],"that":[167,177],"connected":[172],"exact":[175],"contains":[181],"isolated":[182],"nodes.":[183]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
