{"id":"https://openalex.org/W2049638680","doi":"https://doi.org/10.1137/s0895479896308433","title":"Applications of the Dulmage--Mendelsohn Decomposition and Network Flow to Graph Bisection Improvement","display_name":"Applications of the Dulmage--Mendelsohn Decomposition and Network Flow to Graph Bisection Improvement","publication_year":1998,"publication_date":"1998-04-01","ids":{"openalex":"https://openalex.org/W2049638680","doi":"https://doi.org/10.1137/s0895479896308433","mag":"2049638680"},"language":"en","primary_location":{"id":"doi:10.1137/s0895479896308433","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479896308433","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"},"type":"article","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/A5067997221","display_name":"Cleve Ashcraft","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cleve Ashcraft","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5020673021","display_name":"Joseph W. H. Liu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Joseph W. H. Liu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1101,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.86016927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"2","first_page":"325","last_page":"354"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998000264167786,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/bipartite-graph","display_name":"Bipartite graph","score":0.790546715259552},{"id":"https://openalex.org/keywords/graph-partition","display_name":"Graph partition","score":0.6771746873855591},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6675333976745605},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5200826525688171},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5144963264465332},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.5123060941696167},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3915165960788727},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39063066244125366}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.790546715259552},{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.6771746873855591},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6675333976745605},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5200826525688171},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5144963264465332},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.5123060941696167},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3915165960788727},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39063066244125366}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0895479896308433","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479896308433","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.57.3423","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.3423","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.yorku.ca/ftp/pub/TECH-REPORTS/96/CS-96-05/CS-96-05.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1513400187","https://openalex.org/W1966461475","https://openalex.org/W1989689661","https://openalex.org/W2029635056","https://openalex.org/W2030118642","https://openalex.org/W2039086323","https://openalex.org/W2063292248","https://openalex.org/W2070232376","https://openalex.org/W2086609738","https://openalex.org/W2093992309","https://openalex.org/W2114030927","https://openalex.org/W2147542748","https://openalex.org/W2149342630","https://openalex.org/W2161455936","https://openalex.org/W2313049648","https://openalex.org/W4234076532"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2372768926","https://openalex.org/W2391237956","https://openalex.org/W2324246115","https://openalex.org/W2583811263","https://openalex.org/W3012931947","https://openalex.org/W2035944803"],"abstract_inverted_index":{"In":[0],"this":[1,74],"paper,":[2],"we":[3,72,120],"consider":[4],"the":[5,8,48,53,58,65,68,76,91,106],"use":[6],"of":[7,108,115],"Dulmage--Mendelsohn":[9,49],"decomposition":[10,50],"and":[11,35,40,62,98,126],"network":[12,78,93,97],"flow":[13,79],"on":[14,47,112],"bipartite":[15,77,92],"graphs":[16],"to":[17,51,75,84,89,94],"improve":[18,85],"a":[19,24,31,86,95,101,113],"graph":[20,25],"bisection":[21],"partition.":[22],"Given":[23],"partition":[26,87],"[B,":[27],"W,":[28,41],"S]":[29],"with":[30],"vertex":[32],"separator":[33,54],"S":[34],"two":[36],"disconnected":[37],"components":[38],"B":[39,61],"different":[42],"strategies":[43],"are":[44,70],"considered":[45],"based":[46],"reduce":[52],"size":[55],"|S|":[56],"and/or":[57],"imbalance":[59],"between":[60],"W.":[63],"For":[64],"case":[66],"when":[67],"vertices":[69],"weighted,":[71],"relate":[73],"problem.":[80,103],"A":[81],"further":[82],"enhancement":[83],"is":[88],"generalize":[90],"general":[96],"then":[99],"solve":[100],"max-flow":[102],"We":[104],"demonstrate":[105],"utility":[107],"these":[109],"improvement":[110],"techniques":[111],"set":[114],"sparse":[116],"test":[117],"matrices,":[118],"where":[119],"find":[121],"top-level":[122],"separators,":[123],"nested":[124],"dissection,":[125],"multisection":[127],"orderings.":[128]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
