{"id":"https://openalex.org/W2963472820","doi":"https://doi.org/10.1145/3313276.3316393","title":"Towards the locality of Vizing\u2019s theorem","display_name":"Towards the locality of Vizing\u2019s theorem","publication_year":2019,"publication_date":"2019-06-20","ids":{"openalex":"https://openalex.org/W2963472820","doi":"https://doi.org/10.1145/3313276.3316393","mag":"2963472820"},"language":"en","primary_location":{"id":"doi:10.1145/3313276.3316393","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3313276.3316393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of 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/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, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Boston College, 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/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":"Hoa T. Vu","raw_affiliation_strings":["Boston College, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Boston College, USA","institution_ids":["https://openalex.org/I103531236"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8193,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.86814244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"355","last_page":"364"},"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":0.9991999864578247,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.85597825050354},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7033510804176331},{"id":"https://openalex.org/keywords/greedy-coloring","display_name":"Greedy coloring","score":0.6258477568626404},{"id":"https://openalex.org/keywords/brooks-theorem","display_name":"Brooks' theorem","score":0.6215184926986694},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.5720720291137695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5460238456726074},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.5299789905548096},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49571096897125244},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.4898388087749481},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.47436055541038513},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4583955705165863},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.45419105887413025},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.4275323152542114},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4187619090080261},{"id":"https://openalex.org/keywords/efficient-algorithm","display_name":"Efficient algorithm","score":0.41335296630859375},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4102400243282318},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37782421708106995},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23883286118507385},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.17942917346954346},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10571885108947754},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07629561424255371},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.060016363859176636}],"concepts":[{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.85597825050354},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7033510804176331},{"id":"https://openalex.org/C38767284","wikidata":"https://www.wikidata.org/wiki/Q5601715","display_name":"Greedy coloring","level":5,"score":0.6258477568626404},{"id":"https://openalex.org/C51658606","wikidata":"https://www.wikidata.org/wiki/Q512897","display_name":"Brooks' theorem","level":5,"score":0.6215184926986694},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.5720720291137695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5460238456726074},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.5299789905548096},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49571096897125244},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.4898388087749481},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.47436055541038513},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4583955705165863},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.45419105887413025},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.4275323152542114},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4187619090080261},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.41335296630859375},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4102400243282318},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37782421708106995},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23883286118507385},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.17942917346954346},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10571885108947754},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07629561424255371},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.060016363859176636},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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:10.1145/3313276.3316393","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3313276.3316393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1964089073","https://openalex.org/W1965765215","https://openalex.org/W1977066974","https://openalex.org/W2006040238","https://openalex.org/W2009524061","https://openalex.org/W2009970369","https://openalex.org/W2022155283","https://openalex.org/W2032146159","https://openalex.org/W2052354487","https://openalex.org/W2054910423","https://openalex.org/W2055078464","https://openalex.org/W2056316084","https://openalex.org/W2100061495","https://openalex.org/W2109368894","https://openalex.org/W2110673270","https://openalex.org/W2136185479","https://openalex.org/W2154189866","https://openalex.org/W2163371823","https://openalex.org/W2169102947","https://openalex.org/W2394725793","https://openalex.org/W2467514673","https://openalex.org/W2607483562","https://openalex.org/W2750339660","https://openalex.org/W2772780650","https://openalex.org/W2797253418","https://openalex.org/W2902629052","https://openalex.org/W2907832623","https://openalex.org/W2963238998","https://openalex.org/W2963662927","https://openalex.org/W2963840696","https://openalex.org/W4389615664"],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W4297911588","https://openalex.org/W2793500002","https://openalex.org/W1542397451","https://openalex.org/W1842068753","https://openalex.org/W4296943582","https://openalex.org/W2585997002","https://openalex.org/W4212987857","https://openalex.org/W2175082514","https://openalex.org/W3157287446"],"abstract_inverted_index":{"Vizing":[0],"showed":[1],"that":[2,51,66,84],"it":[3],"suffices":[4],"to":[5,29,54],"color":[6],"the":[7,21,25,60,78],"edges":[8],"of":[9,24,57],"a":[10],"simple":[11],"graph":[12],"using":[13],"\u0394":[14,19],"+":[15,63,81],"1":[16],"colors,":[17],"where":[18],"is":[20,37],"maximum":[22],"degree":[23,46],"graph.":[26],"However,":[27],"up":[28],"this":[30,55],"date,":[31],"no":[32],"efficient":[33],"distributed":[34],"edge-coloring":[35],"algorithm":[36,65,83],"known":[38],"for":[39,44],"obtaining":[40],"such":[41],"coloring,":[42],"even":[43],"constant":[45],"graphs.":[47],"The":[48],"current":[49],"algorithms":[50],"get":[52],"closest":[53],"number":[56],"colors":[58],"are":[59],"randomized":[61],"(\u0394":[62,80],"\u0398(\u221a\u0394))-edge-coloring":[64],"runs":[67,85],"in":[68,86],"(n)":[69],"rounds":[70,89],"by":[71,90],"Chang":[72],"et":[73,92],"al.":[74,93],"[SODA":[75],"2018]":[76],"and":[77],"deterministic":[79],"(n))-edge-coloring":[82],"(\u0394,":[87],"logn)":[88],"Ghaffari":[91],"[STOC":[94],"2018].":[95]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2025-10-10T00:00:00"}
