{"id":"https://openalex.org/W2070694622","doi":"https://doi.org/10.1137/s0895480192242821","title":"On the $\\lambda$-Number of $Q_n $ and Related Graphs","display_name":"On the $\\lambda$-Number of $Q_n $ and Related Graphs","publication_year":1995,"publication_date":"1995-11-01","ids":{"openalex":"https://openalex.org/W2070694622","doi":"https://doi.org/10.1137/s0895480192242821","mag":"2070694622"},"language":"en","primary_location":{"id":"doi:10.1137/s0895480192242821","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480192242821","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/A5007642163","display_name":"Marshall A. Whittlesey","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marshall A. Whittlesey","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068363764","display_name":"John P. Georges","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John P. Georges","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032348670","display_name":"David W. Mauro","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David W. Mauro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0682,"has_fulltext":false,"cited_by_count":153,"citation_normalized_percentile":{"value":0.77096527,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"8","issue":"4","first_page":"499","last_page":"506"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9998000264167786,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9998000264167786,"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":0.9997000098228455,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8864555358886719},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.7833142280578613},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.755801260471344},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.6584151387214661},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5235537886619568},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5138083100318909},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.4889325201511383},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46826842427253723},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42306599020957947},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08072885870933533},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.062292277812957764}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8864555358886719},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.7833142280578613},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.755801260471344},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.6584151387214661},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5235537886619568},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5138083100318909},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.4889325201511383},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46826842427253723},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42306599020957947},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08072885870933533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.062292277812957764},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0895480192242821","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480192242821","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1606480398","https://openalex.org/W1998152720","https://openalex.org/W2064102927","https://openalex.org/W2074820146","https://openalex.org/W2148410650"],"related_works":["https://openalex.org/W2949097972","https://openalex.org/W4299640900","https://openalex.org/W2141418112","https://openalex.org/W2738565459","https://openalex.org/W3163064202","https://openalex.org/W3159629589","https://openalex.org/W2601112296","https://openalex.org/W2131259888","https://openalex.org/W2058759738","https://openalex.org/W2951695430"],"abstract_inverted_index":{"An":[0],"$L(":[1,56],"2,1)$-labeling":[2],"of":[3,10,44,62,65,118,125,132],"graph":[4],"G":[5,12,48],"is":[6,50],"an":[7],"integer":[8],"labeling":[9],"$V(":[11],")$":[13,78],"such":[14,27,121],"that":[15,20,28,35],"adjacent":[16],"vertices":[17,29],"have":[18,33,73,84],"labels":[19,34],"differ":[21,36],"by":[22,37],"at":[23,38],"least":[24,39],"2":[25,31],"and":[26,71,83,128],"distance":[30],"apart":[32],"1.":[40],"The":[41],"$\\lambda":[42,46,63,75],"$-number":[43],"G,":[45],"(":[47,76,91],")$,":[49],"the":[51,60,66,110,116,123,126,129],"minimum":[52],"range":[53],"over":[54],"all":[55],"2,1)$-labelings.":[57],"We":[58,100,113],"examine":[59,115],"properties":[61],"$-labelings":[64],"n-cube":[67,127],"$Q_n":[68],"$.":[69],"Griggs":[70],"Yeh":[72],"determined":[74],"Q_n":[77,92],"for":[79],"$n":[80,86],"\\leq":[81,89,94],"5$":[82],"established":[85],"+":[87,96],"3":[88],"\\lambda":[90],")":[93],"2n":[95],"1\\,{\\text{for}}\\,n":[97],"\\geq":[98],"6$.":[99],"modify":[101],"a":[102],"technique":[103],"used":[104],"in":[105],"coding":[106],"theory":[107],"to":[108],"improve":[109],"upper":[111],"bound.":[112],"also":[114],"$\\lambda$-labelings":[117],"related":[119],"graphs,":[120],"as":[122],"subdivision":[124],"Cartesian":[130],"products":[131],"paths.":[133]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":14}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
