{"id":"https://openalex.org/W3184992121","doi":"https://doi.org/10.1145/3465084.3467908","title":"On the Locality of Nash-Williams Forest Decomposition and Star-Forest Decomposition","display_name":"On the Locality of Nash-Williams Forest Decomposition and Star-Forest Decomposition","publication_year":2021,"publication_date":"2021-07-21","ids":{"openalex":"https://openalex.org/W3184992121","doi":"https://doi.org/10.1145/3465084.3467908","mag":"3184992121"},"language":"en","primary_location":{"id":"doi:10.1145/3465084.3467908","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3465084.3467908","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2021 ACM Symposium on Principles of Distributed Computing","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/A5101783327","display_name":"David G. Harris","orcid":"https://orcid.org/0000-0002-3021-3555"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David G. Harris","raw_affiliation_strings":["University of Maryland, College Park, MD, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005437771","display_name":"Hsin-Hao Su","orcid":"https://orcid.org/0009-0002-7970-9604"},"institutions":[{"id":"https://openalex.org/I103531236","display_name":"Boston College","ror":"https://ror.org/02n2fzt79","country_code":"US","type":"education","lineage":["https://openalex.org/I103531236"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hsin-Hao Su","raw_affiliation_strings":["Boston College, Chestnut Hill, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Boston College, Chestnut Hill, MA, USA","institution_ids":["https://openalex.org/I103531236"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034746607","display_name":"Hoa T. Vu","orcid":"https://orcid.org/0000-0001-8873-0208"},"institutions":[{"id":"https://openalex.org/I26538001","display_name":"San Diego State University","ror":"https://ror.org/0264fdx42","country_code":"US","type":"education","lineage":["https://openalex.org/I26538001"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hoa T. Vu","raw_affiliation_strings":["San Diego State University, San Diego, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"San Diego State University, San Diego, CA, USA","institution_ids":["https://openalex.org/I26538001"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7611,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75854716,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"295","last_page":"305"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"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":0.9995999932289124,"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/T10374","display_name":"Advanced Graph Theory Research","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/T12288","display_name":"Optimization and Search Problems","score":0.9926000237464905,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/arboricity","display_name":"Arboricity","score":0.7826451063156128},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.7676188945770264},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.7366435527801514},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5974895358085632},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48714539408683777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42059263586997986},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3962205648422241},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33760690689086914},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.19981056451797485},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.12017080187797546},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1132405698299408}],"concepts":[{"id":"https://openalex.org/C83204008","wikidata":"https://www.wikidata.org/wiki/Q4784907","display_name":"Arboricity","level":4,"score":0.7826451063156128},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.7676188945770264},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.7366435527801514},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5974895358085632},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48714539408683777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42059263586997986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3962205648422241},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33760690689086914},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.19981056451797485},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.12017080187797546},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1132405698299408},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3465084.3467908","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3465084.3467908","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2021 ACM Symposium on Principles of Distributed Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.7400000095367432,"id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G201645195","display_name":null,"funder_award_id":"CCF-2008422","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W1500483810","https://openalex.org/W1500512125","https://openalex.org/W1501843896","https://openalex.org/W1703925482","https://openalex.org/W1713583684","https://openalex.org/W1965765215","https://openalex.org/W1977458171","https://openalex.org/W1989381030","https://openalex.org/W1995121620","https://openalex.org/W1998544343","https://openalex.org/W2010042187","https://openalex.org/W2013469283","https://openalex.org/W2022155283","https://openalex.org/W2042803872","https://openalex.org/W2051109346","https://openalex.org/W2052354487","https://openalex.org/W2054910423","https://openalex.org/W2065826935","https://openalex.org/W2082033996","https://openalex.org/W2098621549","https://openalex.org/W2103182676","https://openalex.org/W2124608963","https://openalex.org/W2126077878","https://openalex.org/W2128081519","https://openalex.org/W2164648353","https://openalex.org/W2182926040","https://openalex.org/W2294368603","https://openalex.org/W2296273994","https://openalex.org/W2463759908","https://openalex.org/W2476017094","https://openalex.org/W2534944111","https://openalex.org/W2552279664","https://openalex.org/W2552762966","https://openalex.org/W2607483562","https://openalex.org/W2900862090","https://openalex.org/W2945994473","https://openalex.org/W2949268223","https://openalex.org/W2962985337","https://openalex.org/W2963149642","https://openalex.org/W2963472820","https://openalex.org/W2963662927","https://openalex.org/W2963813153","https://openalex.org/W2963840696","https://openalex.org/W2966325631","https://openalex.org/W3000828483","https://openalex.org/W3007436284","https://openalex.org/W3034790637","https://openalex.org/W3035455649","https://openalex.org/W3041466512","https://openalex.org/W3096030449","https://openalex.org/W4229705835","https://openalex.org/W4240098028","https://openalex.org/W4247656554","https://openalex.org/W6679066185"],"related_works":["https://openalex.org/W1973112719","https://openalex.org/W2018626253","https://openalex.org/W3013789389","https://openalex.org/W4298370844","https://openalex.org/W2507346374","https://openalex.org/W3149732382","https://openalex.org/W2066364084","https://openalex.org/W2168920762","https://openalex.org/W2949301751","https://openalex.org/W2008346491"],"abstract_inverted_index":{"Given":[0],"a":[1,29],"graph":[2],"G=(V,E)":[3],"with":[4],"arboricity":[5],"a,":[6],"we":[7,53],"study":[8],"the":[9,13,22,61],"problem":[10],"of":[11,15,43],"decomposing":[12],"edges":[14],"G":[16],"into":[17],"(1+\u03b5)a":[18],"disjoint":[19],"forests":[20],"in":[21,60],"distributed":[23],"LOCAL":[24,62],"model.":[25,63],"While":[26],"there":[27],"is":[28],"polynomial":[30],"time":[31],"centralized":[32],"algorithm":[33],"for":[34],"a-forest":[35],"decomposition":[36,59],"(e.g.":[37],"[Imai,":[38],"J.":[39],"Operation":[40],"Research":[41],"Soc.":[42],"Japan":[44],"'83]),":[45],"it":[46],"remains":[47],"an":[48],"open":[49],"question":[50],"how":[51],"close":[52],"can":[54],"get":[55],"to":[56],"this":[57],"exact":[58]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}