{"id":"https://openalex.org/W4309705510","doi":"https://doi.org/10.1080/09728600.2022.2148589","title":"Graph partitioning: an updated survey","display_name":"Graph partitioning: an updated survey","publication_year":2022,"publication_date":"2022-11-22","ids":{"openalex":"https://openalex.org/W4309705510","doi":"https://doi.org/10.1080/09728600.2022.2148589"},"language":"en","primary_location":{"id":"doi:10.1080/09728600.2022.2148589","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2022.2148589","pdf_url":null,"source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1080/09728600.2022.2148589","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074290333","display_name":"Shufei Wu","orcid":"https://orcid.org/0000-0002-7541-7375"},"institutions":[{"id":"https://openalex.org/I4210166499","display_name":"Henan Polytechnic University","ror":"https://ror.org/05vr1c885","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210166499"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shufei Wu","raw_affiliation_strings":["School of Mathematics and Information Science, Henan Polytechnic University, Henan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Henan Polytechnic University, Henan, China","institution_ids":["https://openalex.org/I4210166499"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103008890","display_name":"Jianfeng Hou","orcid":"https://orcid.org/0009-0008-3791-6107"},"institutions":[{"id":"https://openalex.org/I80947539","display_name":"Fuzhou University","ror":"https://ror.org/011xvna82","country_code":"CN","type":"education","lineage":["https://openalex.org/I80947539"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianfeng Hou","raw_affiliation_strings":["Center of Discrete Mathematics, Fuzhou University, Fujian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Discrete Mathematics, Fuzhou University, Fujian, China","institution_ids":["https://openalex.org/I80947539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103008890"],"corresponding_institution_ids":["https://openalex.org/I80947539"],"apc_list":{"value":1000,"currency":"GBP","value_usd":1226},"apc_paid":{"value":1000,"currency":"GBP","value_usd":1226},"fwci":1.5237,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85004929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"20","issue":"1","first_page":"9","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9991999864578247,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/graph-partition","display_name":"Graph partition","score":0.7314813733100891},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6633992195129395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6118885278701782},{"id":"https://openalex.org/keywords/frequency-partition-of-a-graph","display_name":"Frequency partition of a graph","score":0.570235013961792},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5375909805297852},{"id":"https://openalex.org/keywords/null-graph","display_name":"Null graph","score":0.5233896374702454},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.4885140657424927},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.47756463289260864},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.4770476222038269},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4546703100204468},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44705501198768616},{"id":"https://openalex.org/keywords/strength-of-a-graph","display_name":"Strength of a graph","score":0.4371161460876465},{"id":"https://openalex.org/keywords/graph-factorization","display_name":"Graph factorization","score":0.43296176195144653},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.432804673910141},{"id":"https://openalex.org/keywords/complement-graph","display_name":"Complement graph","score":0.4259631633758545},{"id":"https://openalex.org/keywords/factor-critical-graph","display_name":"Factor-critical graph","score":0.4202898442745209},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.3732219338417053},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.3584664463996887},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06908535957336426}],"concepts":[{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.7314813733100891},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6633992195129395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6118885278701782},{"id":"https://openalex.org/C178744013","wikidata":"https://www.wikidata.org/wiki/Q5502876","display_name":"Frequency partition of a graph","level":5,"score":0.570235013961792},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5375909805297852},{"id":"https://openalex.org/C17169500","wikidata":"https://www.wikidata.org/wiki/Q3033506","display_name":"Null graph","level":5,"score":0.5233896374702454},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.4885140657424927},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.47756463289260864},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.4770476222038269},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4546703100204468},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44705501198768616},{"id":"https://openalex.org/C19332903","wikidata":"https://www.wikidata.org/wiki/Q7623247","display_name":"Strength of a graph","level":5,"score":0.4371161460876465},{"id":"https://openalex.org/C128115575","wikidata":"https://www.wikidata.org/wiki/Q5597083","display_name":"Graph factorization","level":5,"score":0.43296176195144653},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.432804673910141},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.4259631633758545},{"id":"https://openalex.org/C36038622","wikidata":"https://www.wikidata.org/wiki/Q5428703","display_name":"Factor-critical graph","level":5,"score":0.4202898442745209},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.3732219338417053},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.3584664463996887},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06908535957336426}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/09728600.2022.2148589","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2022.2148589","pdf_url":null,"source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:47911accba9645c88ade297cba1d40d8","is_oa":true,"landing_page_url":"https://doaj.org/article/47911accba9645c88ade297cba1d40d8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics, Vol 20, Iss 1, Pp 9-19 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1080/09728600.2022.2148589","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2022.2148589","pdf_url":null,"source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4084032211","display_name":null,"funder_award_id":"11801149","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7020636293","display_name":null,"funder_award_id":"12071077","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7143968007","display_name":null,"funder_award_id":"11826008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":109,"referenced_works":["https://openalex.org/W72271495","https://openalex.org/W1507946629","https://openalex.org/W1546449335","https://openalex.org/W1578444888","https://openalex.org/W1601503375","https://openalex.org/W1753153342","https://openalex.org/W1964440169","https://openalex.org/W1965767573","https://openalex.org/W1969017638","https://openalex.org/W1971692513","https://openalex.org/W1979907972","https://openalex.org/W1981723335","https://openalex.org/W1985123706","https://openalex.org/W1987996179","https://openalex.org/W1997955449","https://openalex.org/W2002868922","https://openalex.org/W2002958365","https://openalex.org/W2011488679","https://openalex.org/W2013914289","https://openalex.org/W2021529197","https://openalex.org/W2021939221","https://openalex.org/W2022684130","https://openalex.org/W2022851630","https://openalex.org/W2023022197","https://openalex.org/W2023809267","https://openalex.org/W2026975675","https://openalex.org/W2030713116","https://openalex.org/W2033096960","https://openalex.org/W2038562737","https://openalex.org/W2041509475","https://openalex.org/W2044253309","https://openalex.org/W2045027193","https://openalex.org/W2050628256","https://openalex.org/W2050977427","https://openalex.org/W2067505988","https://openalex.org/W2071932326","https://openalex.org/W2079854871","https://openalex.org/W2082198405","https://openalex.org/W2085815746","https://openalex.org/W2086609738","https://openalex.org/W2092809139","https://openalex.org/W2093118934","https://openalex.org/W2094939916","https://openalex.org/W2107310869","https://openalex.org/W2110869621","https://openalex.org/W2118835565","https://openalex.org/W2119408963","https://openalex.org/W2143738202","https://openalex.org/W2146652681","https://openalex.org/W2158907148","https://openalex.org/W2159739530","https://openalex.org/W2169621345","https://openalex.org/W2171954728","https://openalex.org/W2191479709","https://openalex.org/W2252762257","https://openalex.org/W2277029106","https://openalex.org/W2290912581","https://openalex.org/W2397777181","https://openalex.org/W2426216145","https://openalex.org/W2510161366","https://openalex.org/W2524161526","https://openalex.org/W2530638378","https://openalex.org/W2545836293","https://openalex.org/W2550065169","https://openalex.org/W2565260508","https://openalex.org/W2582364769","https://openalex.org/W2586173554","https://openalex.org/W2596370326","https://openalex.org/W2605863669","https://openalex.org/W2730003069","https://openalex.org/W2758344425","https://openalex.org/W2765168560","https://openalex.org/W2771934077","https://openalex.org/W2781021657","https://openalex.org/W2785767266","https://openalex.org/W2792270702","https://openalex.org/W2884541885","https://openalex.org/W2890976643","https://openalex.org/W2892116073","https://openalex.org/W2897396521","https://openalex.org/W2897788526","https://openalex.org/W2900988476","https://openalex.org/W2905896256","https://openalex.org/W2909489187","https://openalex.org/W2956212118","https://openalex.org/W2962998299","https://openalex.org/W2963492497","https://openalex.org/W2963794775","https://openalex.org/W2963930031","https://openalex.org/W2964267181","https://openalex.org/W2981585407","https://openalex.org/W2999513817","https://openalex.org/W3005067569","https://openalex.org/W3041148934","https://openalex.org/W3111781908","https://openalex.org/W3118462353","https://openalex.org/W3119444454","https://openalex.org/W3137712345","https://openalex.org/W3156774209","https://openalex.org/W3178878483","https://openalex.org/W3191180382","https://openalex.org/W3197731399","https://openalex.org/W4246647751","https://openalex.org/W4247548920","https://openalex.org/W4249559114","https://openalex.org/W4251622426","https://openalex.org/W4255598955","https://openalex.org/W4256209269","https://openalex.org/W4280602867"],"related_works":["https://openalex.org/W4324266426","https://openalex.org/W2404212820","https://openalex.org/W2267695370","https://openalex.org/W2212241778","https://openalex.org/W3022412388","https://openalex.org/W2050157065","https://openalex.org/W2738209622","https://openalex.org/W587376096","https://openalex.org/W2900755677","https://openalex.org/W4309705510"],"abstract_inverted_index":{"AbstractGraph":[0],"partitioning":[1],"problem,":[2],"which":[3],"is":[4],"one":[5,53],"of":[6,19,23,49,60],"the":[7,20,36,45],"most":[8],"important":[9],"topics":[10],"in":[11],"graph":[12,25,42,63,91],"theory,":[13],"usually":[14],"asks":[15],"for":[16],"a":[17,24,41,58,61],"partition":[18,59,74],"vertex":[21],"set":[22],"into":[26],"pairwise":[27],"disjoint":[28],"subsets":[29],"with":[30],"various":[31],"requirements.":[32],"It":[33],"comes":[34],"from":[35],"well-known":[37],"Max-Cut":[38],"Problem:":[39],"Given":[40],"G,":[43],"find":[44,57],"maximum":[46],"bipartite":[47],"subgraph":[48],"G.":[50],"In":[51,80],"practice,":[52],"often":[54],"needs":[55],"to":[56,64],"given":[62],"optimize":[65],"several":[66],"quantities":[67],"simultaneously.":[68],"Such":[69],"problems":[70,75,89],"are":[71],"called":[72],"judicious":[73],"by":[76],"Bollob\u00e1s":[77],"and":[78,88],"Scott.":[79],"this":[81],"survey,":[82],"we":[83],"present":[84],"some":[85],"new":[86],"results":[87],"on":[90],"partitioning.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
