{"id":"https://openalex.org/W2069369236","doi":"https://doi.org/10.1137/s0895480198339456","title":"Minimum Span of No-Hole (<i>r</i>+1)-Distant Colorings","display_name":"Minimum Span of No-Hole (<i>r</i>+1)-Distant Colorings","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2069369236","doi":"https://doi.org/10.1137/s0895480198339456","mag":"2069369236"},"language":"ja","primary_location":{"id":"doi:10.1137/s0895480198339456","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480198339456","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/A5002508116","display_name":"Gerard J. Chang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gerard J. Chang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036652639","display_name":"Justie Su-Tzu Juan","orcid":"https://orcid.org/0000-0002-3654-2560"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Justie Su-tzu Juan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032900168","display_name":"Daphne Der\u2010Fen Liu","orcid":"https://orcid.org/0000-0001-8988-2916"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daphne Der-Fen Liu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.18085503,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"3","first_page":"370","last_page":"380"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9995999932289124,"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":0.9995999932289124,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.996399998664856,"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":0.9948999881744385,"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":0.9247870445251465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8404861688613892},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.8235553503036499},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6257166862487793},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5241817831993103},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.497510701417923},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4177211821079254}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9247870445251465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8404861688613892},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.8235553503036499},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6257166862487793},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5241817831993103},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.497510701417923},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4177211821079254},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0895480198339456","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480198339456","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:10.1.1.580.7824","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.580.7824","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://erdos.csie.ncnu.edu.tw/~jsjuan/2001_1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1627871800","https://openalex.org/W1986211417","https://openalex.org/W2005080911","https://openalex.org/W2010236842","https://openalex.org/W2020496790","https://openalex.org/W2030545207","https://openalex.org/W2048357050","https://openalex.org/W2056979696","https://openalex.org/W2087174375","https://openalex.org/W2091894611","https://openalex.org/W2159813314"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2372768926","https://openalex.org/W2999799752","https://openalex.org/W2080136900","https://openalex.org/W2054458431","https://openalex.org/W3013576436","https://openalex.org/W2115167491","https://openalex.org/W4301046126"],"abstract_inverted_index":{"Given":[0,54,108],"a":[1,5,12,16,20],"nonnegative":[2,21],"integer":[3,22],"r,":[4],"no-hole":[6],"(r+1)-distant":[7],"coloring,":[8],"called":[9],"$\\hbox{N}_{r}$-coloring,":[10],"of":[11,31,34,37,47,61,68,79,91,116,133],"graph":[13,121],"G":[14,80],"is":[15,40,64],"function":[17],"that":[18,28],"assigns":[19],"(color)":[23],"to":[24,130],"each":[25],"vertex":[26],"such":[27],"the":[29,32,45,48,58,65,69,72,114],"separation":[30],"colors":[33,49,74],"any":[35],"pair":[36],"adjacent":[38],"vertices":[39],"greater":[41],"than":[42],"r,,":[43],"and":[44,56,71],"set":[46],"used":[50,75],"must":[51],"be":[52],"consecutive.":[53],"r":[55],"G,":[57,62],"minimum":[59,66],"Nr-span":[60],"nspr(G),":[63],"difference":[67],"largest":[70],"smallest":[73],"in":[76],"an":[77],"Nr-coloring":[78],"if":[81],"there":[82],"exists":[83],"one;":[84],"otherwise,":[85],"define":[86],"${\\rm":[87],"nsp}_r(G)=\\infty$.":[88],"The":[89],"values":[90,115],"nsp1(G)":[92],"(r=1)":[93],"for":[94,118,135],"bipartite":[95,120,136],"graphs":[96],"are":[97],"given":[98],"by":[99],"Roberts":[100],"[Math.":[101],"Comput.":[102],"Modelling,":[103],"17":[104],"(1993),":[105],"pp.":[106],"139--144].":[107],"$r":[109],"\\geq":[110],"2$,":[111],"we":[112],"determine":[113],"nspr(G)":[117],"all":[119],"with":[122],"at":[123],"least":[124],"r-2":[125],"isolated":[126],"vertices.":[127],"This":[128],"leads":[129],"complete":[131],"solutions":[132],"nsp2(G)":[134],"graphs.":[137]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}