{"id":"https://openalex.org/W3178109290","doi":"https://doi.org/10.1137/1.9781611976830.5","title":"A Parallel Approximation Algorithm for Maximizing Submodular <i>b</i>-Matching","display_name":"A Parallel Approximation Algorithm for Maximizing Submodular <i>b</i>-Matching","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3178109290","doi":"https://doi.org/10.1137/1.9781611976830.5","mag":"3178109290"},"language":"en","primary_location":{"id":"doi:10.1137/1.9781611976830.5","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611976830.5","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Conference on Applied and Computational Discrete Algorithms (ACDA21)","raw_type":"book-chapter"},"type":"book-chapter","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/A5033079385","display_name":"S M Ferdous","orcid":"https://orcid.org/0000-0001-5078-0031"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S M Ferdous","raw_affiliation_strings":["Computer Science Department, Purdue University, West Lafayette IN 47907 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Purdue University, West Lafayette IN 47907 USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055182869","display_name":"Alex Pothen","orcid":"https://orcid.org/0000-0002-3421-3325"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alex Pothen","raw_affiliation_strings":["Computer Science Department, Purdue University, West Lafayette IN 47907 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Purdue University, West Lafayette IN 47907 USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050771060","display_name":"Arif Khan","orcid":"https://orcid.org/0000-0002-5793-933X"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arif Khan","raw_affiliation_strings":["Data Science and Machine Intelligence, Pacific Northwest National Lab, Richland WA 99352 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Data Science and Machine Intelligence, Pacific Northwest National Lab, Richland WA 99352 USA","institution_ids":["https://openalex.org/I142606810"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080124836","display_name":"Ajay Panyala","orcid":"https://orcid.org/0000-0002-0846-3347"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ajay Panyala","raw_affiliation_strings":["High Performance Computing, Pacific Northwest National Lab, Richland WA 99352 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"High Performance Computing, Pacific Northwest National Lab, Richland WA 99352 USA","institution_ids":["https://openalex.org/I142606810"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075175819","display_name":"Mahantesh Halappanavar","orcid":"https://orcid.org/0000-0002-2323-4753"},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mahantesh Halappanavar","raw_affiliation_strings":["Data Science and Machine Intelligence, Pacific Northwest National Lab, Richland WA 99352 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Data Science and Machine Intelligence, Pacific Northwest National Lab, Richland WA 99352 USA","institution_ids":["https://openalex.org/I142606810"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15569857,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"45","last_page":"56"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991000294685364,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/submodular-set-function","display_name":"Submodular set function","score":0.7813326120376587},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6885213851928711},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6827836036682129},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.6258558034896851},{"id":"https://openalex.org/keywords/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.5902310609817505},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.564810037612915},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.48843374848365784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48593392968177795},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.46475115418434143},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.4386795163154602},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4103521704673767},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33885717391967773},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25496721267700195},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19567841291427612}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.7813326120376587},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6885213851928711},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6827836036682129},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.6258558034896851},{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.5902310609817505},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.564810037612915},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.48843374848365784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48593392968177795},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.46475115418434143},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.4386795163154602},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4103521704673767},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33885717391967773},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25496721267700195},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19567841291427612},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1.9781611976830.5","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611976830.5","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Conference on Applied and Computational Discrete Algorithms (ACDA21)","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3232922872","display_name":null,"funder_award_id":"17-SC-20-SC","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G3480397655","display_name":null,"funder_award_id":"CCF-1637534","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4329372222","display_name":null,"funder_award_id":"DE-FG02-13ER26135","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6762595189","display_name":"AitF:Collaborative Research: Bridging the Gap between Theory and Practice for Matching and Edge Cover Problems","funder_award_id":"1637534","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6859237865","display_name":null,"funder_award_id":"17-SC-20-SC","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7186324567","display_name":null,"funder_award_id":"DE-FG02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8253304997","display_name":null,"funder_award_id":"17-SC-20-SC","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G8684078510","display_name":null,"funder_award_id":"DE-FG02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1485041102","https://openalex.org/W1486950299","https://openalex.org/W1557692423","https://openalex.org/W1578891227","https://openalex.org/W1680189815","https://openalex.org/W1883792619","https://openalex.org/W1898824936","https://openalex.org/W1984549626","https://openalex.org/W1989453388","https://openalex.org/W1994727615","https://openalex.org/W1997783781","https://openalex.org/W1999101712","https://openalex.org/W2000444555","https://openalex.org/W2014369282","https://openalex.org/W2014533003","https://openalex.org/W2021642912","https://openalex.org/W2024607148","https://openalex.org/W2035080386","https://openalex.org/W2102201348","https://openalex.org/W2124689423","https://openalex.org/W2131824593","https://openalex.org/W2132651631","https://openalex.org/W2188142085","https://openalex.org/W2258998514","https://openalex.org/W2500139799","https://openalex.org/W2544746413","https://openalex.org/W2558257770","https://openalex.org/W2757107770","https://openalex.org/W2795856010","https://openalex.org/W2922509654","https://openalex.org/W2950905676","https://openalex.org/W2952276602","https://openalex.org/W2962711478","https://openalex.org/W2963400632","https://openalex.org/W3003506411","https://openalex.org/W3035176869","https://openalex.org/W3083404835","https://openalex.org/W3118655244","https://openalex.org/W3147109724"],"related_works":["https://openalex.org/W2402949237","https://openalex.org/W2964314169","https://openalex.org/W2594118609","https://openalex.org/W2950365512","https://openalex.org/W2055393744","https://openalex.org/W2968699064","https://openalex.org/W2735578456","https://openalex.org/W1608444752","https://openalex.org/W4389478405","https://openalex.org/W3204684126"],"abstract_inverted_index":{"We":[0,53,68,119],"design":[1],"new":[2,28,123],"serial":[3,64],"and":[4,34,56,65,109],"parallel":[5,66,91],"approximation":[6,31],"algorithms":[7,29,61],"for":[8,62],"computing":[9],"a":[10,19,130],"maximum":[11],"weight":[12],"b-matching":[13,74],"in":[14,47,81,87,139],"an":[15],"edge-weighted":[16],"graph":[17],"with":[18],"submodular":[20,73],"objective":[21],"function.":[22],"This":[23],"problem":[24],"is":[25],"NP-hard;":[26],"the":[27,38,48,71,82,98,103,107,111,122,135,140,147],"have":[30,54,69],"ratio":[32],"1/3,":[33],"are":[35],"relaxations":[36],"of":[37,84,113,125],"Greedy":[39,60],"algorithm":[40,75],"that":[41,115,121],"rely":[42],"only":[43],"on":[44,90,106,143,146],"local":[45],"information":[46],"graph,":[49],"making":[50],"them":[51],"parallelizable.":[52],"designed":[55],"implemented":[57],"Local":[58],"Lazy":[59],"both":[63],"computers.":[67,92],"applied":[70],"approximate":[72],"to":[76,79,96,127],"assign":[77],"tasks":[78,126],"processors":[80,108,128,145],"computation":[83],"Fock":[85],"matrices":[86],"quantum":[88],"chemistry":[89],"The":[93],"assignment":[94,124,138],"seeks":[95],"reduce":[97],"run":[99],"time":[100],"by":[101],"balancing":[102],"computational":[104],"load":[105],"bounding":[110],"number":[112],"messages":[114],"each":[116],"processor":[117],"sends.":[118],"show":[120],"provides":[129],"four":[131],"fold":[132],"speedup":[133],"over":[134],"currently":[136],"used":[137],"NWChemEx":[141],"software":[142],"8000":[144],"Summit":[148],"supercomputer":[149],"at":[150],"Oak":[151],"Ridge":[152],"National":[153],"Lab.":[154]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}
