{"id":"https://openalex.org/W2044854887","doi":"https://doi.org/10.1142/s0129054199000162","title":"A GRAPH BASED DAVIDSON ALGORITHM FOR THE GRAPH PARTITIONING PROBLEM","display_name":"A GRAPH BASED DAVIDSON ALGORITHM FOR THE GRAPH PARTITIONING PROBLEM","publication_year":1999,"publication_date":"1999-06-01","ids":{"openalex":"https://openalex.org/W2044854887","doi":"https://doi.org/10.1142/s0129054199000162","mag":"2044854887"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054199000162","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054199000162","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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/A5078277475","display_name":"Michael Holzrichter","orcid":null},"institutions":[{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"MICHAEL HOLZRICHTER","raw_affiliation_strings":["Sandia National Laboratories, Albuquerque, NM 5800, USA"],"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, Albuquerque, NM 5800, USA","institution_ids":["https://openalex.org/I4210104735"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090034482","display_name":"Suely Oliveira","orcid":"https://orcid.org/0000-0003-4987-5353"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"SUELY OLIVEIRA","raw_affiliation_strings":["Dept. of Computer Science, The University of Iowa, Iowa City, IA 52242, USA","Department of Computer Science The University of Iowa Iowa City, IA 52242, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, The University of Iowa, Iowa City, IA 52242, USA","institution_ids":["https://openalex.org/I126307644"]},{"raw_affiliation_string":"Department of Computer Science The University of Iowa Iowa City, IA 52242, USA","institution_ids":["https://openalex.org/I126307644"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078277475"],"corresponding_institution_ids":["https://openalex.org/I4210104735"],"apc_list":null,"apc_paid":null,"fwci":1.4085,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.80865222,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"02","first_page":"225","last_page":"246"},"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":0.9993000030517578,"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9973999857902527,"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/graph-partition","display_name":"Graph partition","score":0.7376722693443298},{"id":"https://openalex.org/keywords/strength-of-a-graph","display_name":"Strength of a graph","score":0.5791923999786377},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.5296756029129028},{"id":"https://openalex.org/keywords/spectral-graph-theory","display_name":"Spectral graph theory","score":0.5241113901138306},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.4881223142147064},{"id":"https://openalex.org/keywords/null-graph","display_name":"Null graph","score":0.4813966751098633},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46113312244415283},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.45395156741142273},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44507843255996704},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.437275230884552},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.43266093730926514},{"id":"https://openalex.org/keywords/butterfly-graph","display_name":"Butterfly graph","score":0.4310246706008911},{"id":"https://openalex.org/keywords/regular-graph","display_name":"Regular graph","score":0.42926931381225586},{"id":"https://openalex.org/keywords/graph-energy","display_name":"Graph energy","score":0.42794644832611084},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.4263980984687805},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42355674505233765},{"id":"https://openalex.org/keywords/complement-graph","display_name":"Complement graph","score":0.4162626266479492},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39024072885513306}],"concepts":[{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.7376722693443298},{"id":"https://openalex.org/C19332903","wikidata":"https://www.wikidata.org/wiki/Q7623247","display_name":"Strength of a graph","level":5,"score":0.5791923999786377},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.5296756029129028},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.5241113901138306},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.4881223142147064},{"id":"https://openalex.org/C17169500","wikidata":"https://www.wikidata.org/wiki/Q3033506","display_name":"Null graph","level":5,"score":0.4813966751098633},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46113312244415283},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.45395156741142273},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44507843255996704},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.437275230884552},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.43266093730926514},{"id":"https://openalex.org/C18819970","wikidata":"https://www.wikidata.org/wiki/Q3035340","display_name":"Butterfly graph","level":5,"score":0.4310246706008911},{"id":"https://openalex.org/C123482549","wikidata":"https://www.wikidata.org/wiki/Q826467","display_name":"Regular graph","level":5,"score":0.42926931381225586},{"id":"https://openalex.org/C78913703","wikidata":"https://www.wikidata.org/wiki/Q5597087","display_name":"Graph energy","level":5,"score":0.42794644832611084},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.4263980984687805},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42355674505233765},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.4162626266479492},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39024072885513306},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0129054199000162","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054199000162","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.43.8619","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.43.8619","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cerfacs.fr/~douglas/mgnet/papers/Oliveira/graph.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.43.8988","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.43.8988","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.uiowa.edu/~oliveira/PAPERS/graph.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310164","display_name":"Texas A and M University","ror":"https://ror.org/01f5ytq51"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W23142094","https://openalex.org/W1530872699","https://openalex.org/W1563653928","https://openalex.org/W1578099820","https://openalex.org/W1587744656","https://openalex.org/W1966461475","https://openalex.org/W1971758446","https://openalex.org/W2006935644","https://openalex.org/W2007768252","https://openalex.org/W2009596258","https://openalex.org/W2012492661","https://openalex.org/W2059238508","https://openalex.org/W2059586807","https://openalex.org/W2067976091","https://openalex.org/W2070232376","https://openalex.org/W2082381175","https://openalex.org/W2088949989","https://openalex.org/W2114030927","https://openalex.org/W2137541800","https://openalex.org/W2153752762","https://openalex.org/W2161455936","https://openalex.org/W2167573667","https://openalex.org/W2269288153","https://openalex.org/W2798909945","https://openalex.org/W3167601867","https://openalex.org/W4229754601"],"related_works":["https://openalex.org/W2954009223","https://openalex.org/W3170778148","https://openalex.org/W4318995835","https://openalex.org/W4292450760","https://openalex.org/W2048112267","https://openalex.org/W2900680118","https://openalex.org/W2105594148","https://openalex.org/W3127067864","https://openalex.org/W3100627703","https://openalex.org/W2044854887"],"abstract_inverted_index":{"The":[0,64],"problem":[1],"of":[2,10,57,66],"partitioning":[3,43],"a":[4,46,58],"graph":[5,42,47,62,72],"such":[6],"that":[7],"the":[8,49,53,61,70],"number":[9],"edges":[11],"incident":[12],"to":[13,74],"vertices":[14],"in":[15,21,33],"different":[16],"partitions":[17],"is":[18,69],"minimized,":[19],"arises":[20],"many":[22],"contexts.":[23],"Some":[24],"examples":[25],"include":[26],"its":[27],"recursive":[28],"application":[29],"for":[30,38],"minimizing":[31],"fill-in":[32],"matrix":[34,59],"factorizations":[35],"and":[36],"load-balancing":[37],"parallel":[39],"algorithms.":[40],"Spectral":[41],"algorithms":[44],"partition":[45],"using":[48],"eigenvector":[50,77],"associated":[51],"with":[52],"second":[54],"smallest":[55],"eigenvalue":[56],"called":[60],"Laplacian.":[63],"focus":[65],"this":[67,76],"paper":[68],"use":[71],"theory":[73],"compute":[75],"more":[78],"quickly.":[79]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}