{"id":"https://openalex.org/W2301205936","doi":"https://doi.org/10.1145/2897518.2897561","title":"On the effect of randomness on planted 3-coloring models","display_name":"On the effect of randomness on planted 3-coloring models","publication_year":2016,"publication_date":"2016-06-10","ids":{"openalex":"https://openalex.org/W2301205936","doi":"https://doi.org/10.1145/2897518.2897561","mag":"2301205936"},"language":"en","primary_location":{"id":"doi:10.1145/2897518.2897561","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2897518.2897561","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-eighth annual ACM 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/A5025355002","display_name":"Roee David","orcid":null},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Roee David","raw_affiliation_strings":["Weizmann Institute of Science, Israel"],"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science, Israel","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013190102","display_name":"Uriel Feige","orcid":"https://orcid.org/0009-0006-3749-4392"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Uriel Feige","raw_affiliation_strings":["Weizmann Institute of Science, Israel"],"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science, Israel","institution_ids":["https://openalex.org/I53964585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025355002"],"corresponding_institution_ids":["https://openalex.org/I53964585"],"apc_list":null,"apc_paid":null,"fwci":1.3939,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.82426856,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"77","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.998199999332428,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.998199999332428,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9976000189781189,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.719141960144043},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.6842038631439209},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.6333420276641846},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.6263208389282227},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6184361577033997},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.6049437522888184},{"id":"https://openalex.org/keywords/greedy-coloring","display_name":"Greedy coloring","score":0.5941258668899536},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5123975872993469},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.5033513903617859},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.4994683265686035},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47172513604164124},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.46557730436325073},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.45765411853790283},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.430300235748291},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.412078857421875},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.09247705340385437},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.08316588401794434},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06748834252357483}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.719141960144043},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6842038631439209},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.6333420276641846},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.6263208389282227},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6184361577033997},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.6049437522888184},{"id":"https://openalex.org/C38767284","wikidata":"https://www.wikidata.org/wiki/Q5601715","display_name":"Greedy coloring","level":5,"score":0.5941258668899536},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5123975872993469},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.5033513903617859},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.4994683265686035},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47172513604164124},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.46557730436325073},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.45765411853790283},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.430300235748291},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.412078857421875},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.09247705340385437},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.08316588401794434},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06748834252357483},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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":1,"locations":[{"id":"doi:10.1145/2897518.2897561","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2897518.2897561","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-eighth annual ACM symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W80618698","https://openalex.org/W1605711022","https://openalex.org/W1947552815","https://openalex.org/W1982556961","https://openalex.org/W1987178221","https://openalex.org/W1987745187","https://openalex.org/W1989042829","https://openalex.org/W1994098212","https://openalex.org/W1998400388","https://openalex.org/W2018047324","https://openalex.org/W2021145763","https://openalex.org/W2026709222","https://openalex.org/W2030087828","https://openalex.org/W2034053794","https://openalex.org/W2036878392","https://openalex.org/W2039759060","https://openalex.org/W2042587503","https://openalex.org/W2068871408","https://openalex.org/W2069816168","https://openalex.org/W2072142887","https://openalex.org/W2079035346","https://openalex.org/W2085716675","https://openalex.org/W2088164510","https://openalex.org/W2088272899","https://openalex.org/W2101644337","https://openalex.org/W2103935895","https://openalex.org/W2301205936","https://openalex.org/W2401610261","https://openalex.org/W2764942935","https://openalex.org/W3139080059","https://openalex.org/W4231553787","https://openalex.org/W4387723197","https://openalex.org/W6640713269","https://openalex.org/W6723629830"],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W4291316360","https://openalex.org/W4297911588","https://openalex.org/W2585997002","https://openalex.org/W3169197204","https://openalex.org/W2793500002","https://openalex.org/W2046652778","https://openalex.org/W1542397451","https://openalex.org/W2380525562","https://openalex.org/W2385428710"],"abstract_inverted_index":{"We":[0,226,268],"present":[1],"the":[2,14,41,80,87,95,100,180,198,220,229,256,304,309],"hosted":[3],"coloring":[4,306],"framework":[5,167,181],"for":[6,13,131,197,271],"studying":[7],"al-":[8],"gorithmic":[9],"and":[10,32,49,116,126,145,147,219,234],"hardness":[11],"results":[12,290,293],"k-coloring":[15,38,76,120],"problem.":[16],"There":[17],"is":[18,60,82,99,112,121,157,168,187,223,250,260,285],"a":[19,27,36,65,107,118,158,188,251,272,283],"class":[20,101],"H":[21,29,31,98,109,111,186,249],"of":[22,102,201,232,275,301],"host":[23],"graphs.":[24],"One":[25],"selects":[26],"graph":[28,58,254],"\u2208":[30,110],"plants":[33],"in":[34,165,303],"it":[35,170],"balanced":[37,119,258],"(by":[39],"partitioning":[40],"vertex":[42],"set":[43],"into":[44],"k":[45,183],"roughly":[46],"equal":[47],"parts,":[48],"removing":[50],"all":[51,103],"edges":[52],"within":[53,179],"each":[54],"part).":[55],"The":[56,162],"resulting":[57],"G":[59,73],"given":[61],"as":[62],"input":[63],"to":[64,71,85,94,151,240,242,311],"polynomial":[66],"time":[67],"algorithm":[68,81,231],"that":[69,97,169,194,228,270,294],"needs":[70],"k-color":[72],"(any":[74],"legal":[75],"would":[77],"do":[78,152],"\u2013":[79],"not":[83,172],"required":[84],"recover":[86],"planted":[88,91,122,221,257,305],"k-coloring).":[89],"Earlier":[90],"models":[92],"correspond":[93],"case":[96],"n-vertex":[104],"d-regular":[105,253],"graphs,":[106],"member":[108],"chosen":[113,215,261],"at":[114,123],"random,":[115],"then":[117],"random.":[124],"Blum":[125],"Spencer":[127],"[1995]":[128],"designed":[129],"algorithms":[130],"this":[132,243],"model":[133,178,248,307],"when":[134,155],"d":[135,156,189],"=":[136,184],"n":[137],"\u03b4":[138,142],"(for":[139],"0":[140],"<":[141],"\u2264":[143],"1),":[144],"Alon":[146,233],"Kahale":[148,235],"[1997]":[149,236],"managed":[150],"so":[153],"even":[154],"sufficiently":[159],"large":[160],"constant.":[161],"new":[163],"aspect":[164],"our":[166],"need":[171],"in-":[173],"volve":[174],"randomness.":[175],"In":[176,245],"one":[177],"(with":[182],"3)":[185],"regular":[190],"spectral":[191],"expander":[192],"(meaning":[193],"ex-":[195],"cept":[196],"largest":[199],"eigenvalue":[200,207],"its":[202],"adjacency":[203],"matrix,":[204],"every":[205],"other":[206,247,292],"has":[208],"absolute":[209],"value":[210],"much":[211],"smaller":[212],"than":[213],"d)":[214],"by":[216,262],"an":[217,263],"adversary,":[218,264],"3-coloring":[222,230,259,284,313],"ran-":[224],"dom.":[225],"show":[227,269],"can":[237],"be":[238],"modified":[239],"apply":[241],"case.":[244],"an-":[246],"random":[252],"but":[255],"after":[265],"seeing":[266],"H.":[267],"certain":[273],"range":[274],"average":[276],"degrees":[277],"somewhat":[278],"below":[279],"\u221a":[280],"n,":[281],"finding":[282],"NP-hard.":[286],"To-":[287],"gether":[288],"these":[289],"(and":[291],"we":[295],"have)":[296],"help":[297],"clarify":[298],"which":[299],"aspects":[300],"randomness":[302],"are":[308],"key":[310],"successful":[312],"algorithms.":[314]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}