{"id":"https://openalex.org/W2809496910","doi":"https://doi.org/10.1145/3218176.3218232","title":"Balanced Graph Partition Refinement using the Graph p-Laplacian","display_name":"Balanced Graph Partition Refinement using the Graph p-Laplacian","publication_year":2018,"publication_date":"2018-06-20","ids":{"openalex":"https://openalex.org/W2809496910","doi":"https://doi.org/10.1145/3218176.3218232","mag":"2809496910"},"language":"en","primary_location":{"id":"doi:10.1145/3218176.3218232","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3218176.3218232","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Platform for Advanced Scientific Computing Conference","raw_type":"proceedings-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/A5052079460","display_name":"Toby Simpson","orcid":null},"institutions":[{"id":"https://openalex.org/I57201433","display_name":"Universit\u00e0 della Svizzera italiana","ror":"https://ror.org/03c4atk17","country_code":"CH","type":"education","lineage":["https://openalex.org/I57201433"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Toby Simpson","raw_affiliation_strings":["Institute of Computational Science, Universit\u00e0 della Svizzera italiana"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Science, Universit\u00e0 della Svizzera italiana","institution_ids":["https://openalex.org/I57201433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029330389","display_name":"Dimosthenis Pasadakis","orcid":"https://orcid.org/0000-0001-8580-1023"},"institutions":[{"id":"https://openalex.org/I57201433","display_name":"Universit\u00e0 della Svizzera italiana","ror":"https://ror.org/03c4atk17","country_code":"CH","type":"education","lineage":["https://openalex.org/I57201433"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Dimosthenis Pasadakis","raw_affiliation_strings":["Institute of Computational Science, Universit\u00e0 della Svizzera italiana"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Science, Universit\u00e0 della Svizzera italiana","institution_ids":["https://openalex.org/I57201433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103205480","display_name":"Drosos Kourounis","orcid":"https://orcid.org/0000-0002-6490-8283"},"institutions":[{"id":"https://openalex.org/I57201433","display_name":"Universit\u00e0 della Svizzera italiana","ror":"https://ror.org/03c4atk17","country_code":"CH","type":"education","lineage":["https://openalex.org/I57201433"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Drosos Kourounis","raw_affiliation_strings":["Institute of Computational Science, Universit\u00e0 della Svizzera italiana"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Science, Universit\u00e0 della Svizzera italiana","institution_ids":["https://openalex.org/I57201433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101402257","display_name":"Kohei Fujita","orcid":"https://orcid.org/0000-0003-2911-0222"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]},{"id":"https://openalex.org/I2800279901","display_name":"Earthquake Engineering Research Institute","ror":"https://ror.org/03v188q73","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2800279901"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"Kohei Fujita","raw_affiliation_strings":["Earthquake Research Institute & Department of Civil Engineering, The University of Tokyo, Advanced Institute for Computational Science, RIKEN"],"affiliations":[{"raw_affiliation_string":"Earthquake Research Institute & Department of Civil Engineering, The University of Tokyo, Advanced Institute for Computational Science, RIKEN","institution_ids":["https://openalex.org/I2800279901","https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010842493","display_name":"Takuma Yamaguchi","orcid":"https://orcid.org/0000-0002-6754-020X"},"institutions":[{"id":"https://openalex.org/I2800279901","display_name":"Earthquake Engineering Research Institute","ror":"https://ror.org/03v188q73","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2800279901"]},{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"Takuma Yamaguchi","raw_affiliation_strings":["Earthquake Research Institute & Department of Civil Engineering, The University of Tokyo"],"affiliations":[{"raw_affiliation_string":"Earthquake Research Institute & Department of Civil Engineering, The University of Tokyo","institution_ids":["https://openalex.org/I2800279901","https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102274309","display_name":"Tsuyoshi Ichimura","orcid":null},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]},{"id":"https://openalex.org/I2800279901","display_name":"Earthquake Engineering Research Institute","ror":"https://ror.org/03v188q73","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2800279901"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"Tsuyoshi Ichimura","raw_affiliation_strings":["Earthquake Research Institute & Department of Civil Engineering, The University of Tokyo, Advanced Institute for Computational Science, RIKEN"],"affiliations":[{"raw_affiliation_string":"Earthquake Research Institute & Department of Civil Engineering, The University of Tokyo, Advanced Institute for Computational Science, RIKEN","institution_ids":["https://openalex.org/I2800279901","https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017590193","display_name":"Olaf Schenk","orcid":"https://orcid.org/0000-0001-8636-1023"},"institutions":[{"id":"https://openalex.org/I57201433","display_name":"Universit\u00e0 della Svizzera italiana","ror":"https://ror.org/03c4atk17","country_code":"CH","type":"education","lineage":["https://openalex.org/I57201433"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Olaf Schenk","raw_affiliation_strings":["Institute of Computational Science, Universit\u00e0 della Svizzera italiana"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Science, Universit\u00e0 della Svizzera italiana","institution_ids":["https://openalex.org/I57201433"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5052079460"],"corresponding_institution_ids":["https://openalex.org/I57201433"],"apc_list":null,"apc_paid":null,"fwci":0.2617,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.56745862,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"11"},"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":0.9980000257492065,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/graph-partition","display_name":"Graph partition","score":0.6516677141189575},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.4637359380722046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4348233640193939},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4223254919052124},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.4207729697227478},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40335339307785034},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3486796021461487},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.340275377035141},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2674141526222229}],"concepts":[{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.6516677141189575},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.4637359380722046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4348233640193939},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4223254919052124},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.4207729697227478},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40335339307785034},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3486796021461487},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.340275377035141},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2674141526222229}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3218176.3218232","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3218176.3218232","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Platform for Advanced Scientific Computing Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W100944330","https://openalex.org/W125936143","https://openalex.org/W1512522810","https://openalex.org/W1581078542","https://openalex.org/W1587744656","https://openalex.org/W1981618588","https://openalex.org/W1981893977","https://openalex.org/W1994687200","https://openalex.org/W2011039300","https://openalex.org/W2027758045","https://openalex.org/W2029676642","https://openalex.org/W2035080386","https://openalex.org/W2070232376","https://openalex.org/W2071891541","https://openalex.org/W2072855901","https://openalex.org/W2078210269","https://openalex.org/W2083279262","https://openalex.org/W2088160222","https://openalex.org/W2095117703","https://openalex.org/W2096146461","https://openalex.org/W2105607453","https://openalex.org/W2106424475","https://openalex.org/W2114030927","https://openalex.org/W2125531986","https://openalex.org/W2136935487","https://openalex.org/W2161455936","https://openalex.org/W2314709240","https://openalex.org/W2500538847","https://openalex.org/W2648400980","https://openalex.org/W2752576738","https://openalex.org/W2755088640"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2963002212","https://openalex.org/W4205812024","https://openalex.org/W4293871700","https://openalex.org/W1533309322","https://openalex.org/W4295105863","https://openalex.org/W2546283402","https://openalex.org/W1828315746","https://openalex.org/W4300950998","https://openalex.org/W4352976663"],"abstract_inverted_index":{"A":[0,87],"continuous":[1],"formulation":[2],"of":[3,14,35,75,101,112,130,154],"the":[4,11,15,28,33,63,84,102,113,117],"optimal":[5],"2-way":[6],"graph":[7,16,30,108],"partitioning":[8,31],"based":[9],"on":[10,83,133],"p-norm":[12,64],"minimization":[13,43],"Laplacian":[17],"Rayleigh":[18],"quotient":[19],"is":[20,37,44,105],"presented,":[21],"which":[22,36],"provides":[23],"a":[24,47,51,59,66,69,77],"sharp":[25],"approximation":[26],"to":[27,39,145,156],"balanced":[29],"problem,":[32],"optimality":[34],"known":[38],"be":[40],"NP-hard.":[41],"The":[42,99,110,149],"initialized":[45],"from":[46,65,163,197],"cut":[48],"provided":[49],"by":[50],"state-of-the-art":[52],"multilevel":[53],"recursive":[54,131],"bisection":[55,132],"algorithm,":[56],"and":[57,95,122,136,170,181,189],"then":[58],"continuation":[60],"approach":[61,104,119,151],"reduces":[62],"2-norm":[67],"towards":[68,92],"1-norm,":[70],"employing":[71],"for":[72,140,160,174,185,194],"each":[73],"value":[74],"p":[76],"feasibility-preserving":[78],"steepest-descent":[79,114],"method":[80],"that":[81],"converges":[82],"p-Laplacian":[85],"eigenvector.":[86],"filter":[88],"favors":[89],"iterates":[90],"advancing":[91],"minimum":[93],"edgecut":[94],"partition":[96],"load":[97],"imbalance.":[98],"complexity":[100],"suggested":[103,150],"linear":[106],"in":[107,124],"edges.":[109],"simplicity":[111],"algorithm":[115],"renders":[116],"overall":[118],"highly":[120],"scalable":[121],"efficient":[123],"parallel":[125],"distributed":[126],"architectures.":[127],"Parallel":[128],"implementation":[129],"multi-core":[134],"CPUs":[135],"GPUs":[137],"are":[138],"presented":[139],"large-scale":[141],"graphs":[142,161,195],"with":[143],"up":[144,155],"1.9":[146],"billion":[147],"tetrahedra.":[148],"exhibits":[152],"improvements":[153],"52.8%":[157],"over":[158,168,172,179,183,192],"METIS":[159,169,180,193],"originating":[162],"triangular":[164],"Delaunay":[165],"meshes,":[166],"34.7%":[167],"21.9%":[171],"KaHIP":[173,184],"power":[175],"network":[176],"graphs,":[177,188],"40.8%":[178],"20.6%":[182],"sparse":[186],"matrix":[187],"finally":[190],"93.2%":[191],"emerging":[196],"social":[198],"networks.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}