{"id":"https://openalex.org/W2006107780","doi":"https://doi.org/10.1137/0403045","title":"The Domatic Number Problem in Interval Graphs","display_name":"The Domatic Number Problem in Interval Graphs","publication_year":1990,"publication_date":"1990-11-01","ids":{"openalex":"https://openalex.org/W2006107780","doi":"https://doi.org/10.1137/0403045","mag":"2006107780"},"language":"en","primary_location":{"id":"doi:10.1137/0403045","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0403045","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/A5005924127","display_name":"Tung-Lin Lu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tung-Lin Lu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111505107","display_name":"Pei-Hsin Ho","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pei-Hsin Ho","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","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":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9927,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.85609886,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":"4","first_page":"531","last_page":"536"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":1.0,"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":1.0,"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":0.9993000030517578,"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":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8659214973449707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8238751292228699},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.7003101110458374},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5933290123939514},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5867013931274414},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5844529867172241},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48654142022132874}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8659214973449707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8238751292228699},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.7003101110458374},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5933290123939514},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5867013931274414},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5844529867172241},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48654142022132874}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0403045","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0403045","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":11,"referenced_works":["https://openalex.org/W24708077","https://openalex.org/W1068061267","https://openalex.org/W1513353427","https://openalex.org/W1991307540","https://openalex.org/W2019262465","https://openalex.org/W2022548094","https://openalex.org/W2024491681","https://openalex.org/W2091659991","https://openalex.org/W2143180579","https://openalex.org/W2143474538","https://openalex.org/W4299866835"],"related_works":["https://openalex.org/W2794522194","https://openalex.org/W4283726592","https://openalex.org/W1885115167","https://openalex.org/W2963404550","https://openalex.org/W30750922","https://openalex.org/W3118953946","https://openalex.org/W2749731046","https://openalex.org/W2994748110","https://openalex.org/W2424154501","https://openalex.org/W3171126253"],"abstract_inverted_index":{"A":[0],"set":[1,8],"of":[2,9,38,70,116],"vertices":[3],"D":[4],"is":[5,24,46,73,112],"a":[6,10,27,39,117],"dominating":[7,60],"graph":[11,40,105],"$G":[12,41],"=":[13,42,95],"(":[14,35,43,92,97,109],"V,E":[15,44],")$":[16,37,45,111],"if":[17],"every":[18],"vertex":[19,28,118],"in":[20,29,83,119],"$V":[21],"-":[22],"D$":[23],"adjacent":[25],"to":[26,74],"D.":[30],"The":[31,67],"domatic":[32,80],"number":[33,49,81],"$d":[34,91],"G":[36,93,98,110],"the":[47,79,113],"maximum":[48],"k":[50,58],"such":[51],"that":[52,90],"V":[53],"can":[54],"be":[55],"partitioned":[56],"into":[57],"disjoint":[59],"sets":[61],"$D_1":[62],",":[63],"\\cdots":[64],",D_k":[65],"$.":[66],"main":[68],"purpose":[69],"this":[71],"paper":[72,87],"give":[75],"linear":[76],"algorithms":[77],"for":[78,102],"problem":[82],"interval":[84,104],"graphs.":[85],"This":[86],"also":[88],"proves":[89],")":[94,99],"\\delta":[96],"+":[100],"1$":[101],"any":[103],"G,":[106],"where":[107],"$\\delta":[108],"minimum":[114],"degree":[115],"G.":[120]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
