{"id":"https://openalex.org/W2095395252","doi":"https://doi.org/10.1137/s089548019427545x","title":"Interference-Minimizing Colorings of Regular Graphs","display_name":"Interference-Minimizing Colorings of Regular Graphs","publication_year":1998,"publication_date":"1998-02-01","ids":{"openalex":"https://openalex.org/W2095395252","doi":"https://doi.org/10.1137/s089548019427545x","mag":"2095395252"},"language":"en","primary_location":{"id":"doi:10.1137/s089548019427545x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s089548019427545x","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/A5109191172","display_name":"P. C. Fishburn","orcid":null},"institutions":[{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. C. Fishburn","raw_affiliation_strings":["At&T#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"At&T#TAB#","institution_ids":["https://openalex.org/I1283103587"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015908365","display_name":"J. H. Kim","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. H. Kim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025700092","display_name":"J. C. Lagarias","orcid":null},"institutions":[{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. C. Lagarias","raw_affiliation_strings":["At&T#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"At&T#TAB#","institution_ids":["https://openalex.org/I1283103587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108373126","display_name":"Paul E. Wright","orcid":null},"institutions":[{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. E. Wright","raw_affiliation_strings":["At&T#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"At&T#TAB#","institution_ids":["https://openalex.org/I1283103587"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5101,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68305203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"1","first_page":"15","last_page":"40"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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":0.9994000196456909,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9983999729156494,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9962999820709229,"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":0.8783936500549316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7491920590400696},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.5719842314720154},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5629462599754333},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.5558844804763794},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.5463226437568665},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5262776017189026},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.5043607950210571},{"id":"https://openalex.org/keywords/greedy-coloring","display_name":"Greedy coloring","score":0.4987504482269287},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.459212064743042},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.1563212275505066},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10154199600219727}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8783936500549316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7491920590400696},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.5719842314720154},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5629462599754333},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.5558844804763794},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.5463226437568665},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5262776017189026},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.5043607950210571},{"id":"https://openalex.org/C38767284","wikidata":"https://www.wikidata.org/wiki/Q5601715","display_name":"Greedy coloring","level":5,"score":0.4987504482269287},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.459212064743042},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.1563212275505066},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10154199600219727}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s089548019427545x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s089548019427545x","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.48.7622","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.7622","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.research.att.com/~jcl/doc/kim.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1970760331","https://openalex.org/W1971367602","https://openalex.org/W1972615509","https://openalex.org/W1991488719","https://openalex.org/W2008081984","https://openalex.org/W2008350443","https://openalex.org/W2009854030","https://openalex.org/W2020496790","https://openalex.org/W2048357050","https://openalex.org/W2056979696","https://openalex.org/W2063292248","https://openalex.org/W2064102927","https://openalex.org/W2085716675","https://openalex.org/W2130738665"],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W4291316360","https://openalex.org/W3169197204","https://openalex.org/W1542397451","https://openalex.org/W2585997002","https://openalex.org/W2380525562","https://openalex.org/W4297911588","https://openalex.org/W2385428710","https://openalex.org/W4229747356","https://openalex.org/W398688634"],"abstract_inverted_index":{"Communications":[0],"problems":[1,25],"that":[2,109,115,154,167,181,210],"involve":[3],"frequency":[4],"interference,":[5],"such":[6,128],"as":[7,22],"the":[8,13,28,111,121,141,197],"channel":[9],"assignment":[10],"problem":[11],"in":[12,26,127,214],"design":[14],"of":[15,107,113,124,131,144,200],"cellular":[16],"telephone":[17],"networks,":[18],"can":[19],"be":[20],"cast":[21],"graph":[23,96,176],"coloring":[24,103,106,130],"which":[27],"frequencies":[29],"(colors)":[30],"assigned":[31],"to":[32,68],"an":[33,101],"edge's":[34],"vertices":[35,53,108,180],"interfere":[36,69],"if":[37,70],"they":[38],"are":[39,66],"too":[40],"similar.":[41],"The":[42],"paper":[43],"considers":[44],"situations":[45],"modeled":[46],"by":[47],"vertex-coloring":[48],"d-regular":[49,95,149,175,205],"graphs":[50,150,153,206,209],"with":[51],"n":[52,179],"using":[54],"a":[55,88,94,105,129,174],"color":[56],"set":[57],"1,":[58],"2,...,":[59],"n,":[60],"where":[61],"colors":[62],"i":[63],"and":[64,98,151,190,207],"j":[65],"said":[67],"their":[71],"circular":[72],"distance":[73],"$\\min":[74],"\\{":[75],"|":[76,78,81,83],"i-j":[77,82],",":[79],"n-":[80],"\\}$":[84],"does":[85],"not":[86],"exceed":[87],"given":[89],"threshold":[90,99],"value":[91,143,162,199],"$\\alpha$.":[92],"Given":[93],"G":[97,177],"$\\alpha$,":[100],"interference-minimizing":[102],"is":[104,163,182,192],"minimizes":[110],"number":[112,123],"edges":[114,126],"interfere.":[116],"Let":[117],"$I_\\alpha":[118,145,201],"(G)$":[119,146,202],"denote":[120],"minimum":[122,142,161],"interfering":[125],"G.":[132],"For":[133],"most":[134],"triples":[135],"$(n,":[136],"\\alpha":[137],",d),$":[138],"we":[139,165],"determine":[140],"over":[147,203],"all":[148,204],"find":[152,208],"attain":[155,211],"it.":[156],"In":[157],"determining":[158],"when":[159],"this":[160,212],"0,":[164],"prove":[166],"for":[168],"$r":[169],"\\geq":[170],"3$":[171],"there":[172],"exists":[173],"on":[178],"r-colorable":[183],"whenever":[184],"$d":[185],"\\leq":[186],"(1-":[187],"\\frac{1}{r})":[188],"n-1$":[189],"nd":[191],"even.":[193],"We":[194],"also":[195],"study":[196],"maximum":[198,213],"many":[215],"cases.":[216]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}