{"id":"https://openalex.org/W2026925081","doi":"https://doi.org/10.1137/110838078","title":"Random Lifts of $K_5\\backslashe$ are 3-Colorable","display_name":"Random Lifts of $K_5\\backslashe$ are 3-Colorable","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2026925081","doi":"https://doi.org/10.1137/110838078","mag":"2026925081"},"language":"en","primary_location":{"id":"doi:10.1137/110838078","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110838078","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-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/A5040621470","display_name":"Babak Farzad","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Babak Farzad","raw_affiliation_strings":["bfarzad@brocku.ca#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"bfarzad@brocku.ca#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070611630","display_name":"Dirk Oliver Theis","orcid":"https://orcid.org/0000-0002-9362-0748"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dirk Oliver Theis","raw_affiliation_strings":["[email\u00a0protected]#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[email\u00a0protected]#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4713,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57951561,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"26","issue":"1","first_page":"169","last_page":"176"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9970999956130981,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.8708227872848511},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.7547829747200012},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6901342272758484},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.6474325656890869},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5134285688400269},{"id":"https://openalex.org/keywords/backslash","display_name":"Backslash","score":0.4742000699043274},{"id":"https://openalex.org/keywords/struct","display_name":"struct","score":0.4647452235221863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08420920372009277}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8708227872848511},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.7547829747200012},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6901342272758484},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.6474325656890869},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5134285688400269},{"id":"https://openalex.org/C2780345915","wikidata":"https://www.wikidata.org/wiki/Q11185","display_name":"Backslash","level":2,"score":0.4742000699043274},{"id":"https://openalex.org/C2776142590","wikidata":"https://www.wikidata.org/wiki/Q1164699","display_name":"struct","level":2,"score":0.4647452235221863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08420920372009277},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/110838078","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110838078","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1971907125","https://openalex.org/W1974893148","https://openalex.org/W1991070563","https://openalex.org/W1998836349","https://openalex.org/W2022956475","https://openalex.org/W2073849603","https://openalex.org/W2130270608","https://openalex.org/W4235790843"],"related_works":["https://openalex.org/W4389188538","https://openalex.org/W4233772642","https://openalex.org/W2789619702","https://openalex.org/W2341583964","https://openalex.org/W1993979952","https://openalex.org/W1997223755","https://openalex.org/W2890286717","https://openalex.org/W2402002076","https://openalex.org/W2315493937","https://openalex.org/W4313680207"],"abstract_inverted_index":{"Amit,":[0],"Linial,":[1],"and":[2],"Matou\u0161ek":[3],"[Random":[4],"Struct.":[5],"Algorithms,":[6],"20":[7],"(2001),":[8],"pp.":[9],"1\u201322]":[10],"have":[11],"raised":[12],"the":[13,17,41],"following":[14,42],"question:":[15],"Is":[16],"chromatic":[18,46],"number":[19,47],"of":[20,23,48,52],"random":[21,50],"h-lifts":[22],"$K_5$":[24],"asymptotically":[25],"(for":[26],"$h\\to\\infty$)":[27],"almost":[28],"surely":[29],"(a.a.s.)":[30],"equal":[31],"to":[32],"a":[33,49],"single":[34],"number?":[35],"In":[36],"this":[37],"paper,":[38],"we":[39],"offer":[40],"partial":[43],"result:":[44],"The":[45],"lift":[51],"$K_5\\backslash":[53],"e$":[54],"is":[55],"a.a.s.":[56],"3.":[57]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
