{"id":"https://openalex.org/W7223569855","doi":"https://doi.org/10.47443/dml.2026.206","title":"On the k-Distance Chromatic Number of Unicyclic Graphs","display_name":"On the k-Distance Chromatic Number of Unicyclic Graphs","publication_year":2026,"publication_date":"2026-10-25","ids":{"openalex":"https://openalex.org/W7223569855","doi":"https://doi.org/10.47443/dml.2026.206"},"language":"en","primary_location":{"id":"doi:10.47443/dml.2026.206","doi":"https://doi.org/10.47443/dml.2026.206","is_oa":true,"landing_page_url":"https://doi.org/10.47443/dml.2026.206","pdf_url":"https://doi.org/10.47443/dml.2026.206","source":{"id":"https://openalex.org/S4210212609","display_name":"Discrete Mathematics Letters","issn_l":"2664-2557","issn":["2664-2557"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","norway-1","poland-20","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics Letters","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.47443/dml.2026.206","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001797411","display_name":"Ros\u00e1rio Fernandes","orcid":"https://orcid.org/0000-0003-2695-9079","observed_orcids":["https://orcid.org/0000-0003-2695-9079"]},"institutions":[{"id":"https://openalex.org/I83558840","display_name":"Universidade Nova de Lisboa","ror":"https://ror.org/02xankh89","country_code":"PT","type":"education","lineage":["https://openalex.org/I83558840"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Ros\u00e1rio Fernandes","raw_affiliation_strings":["Center for Mathematics and Applications (Nova Math) and Department of Mathematics , NOVA School of Science and Technology (NOVA FCT) , Universidade Nova de Lisboa , 2829-516 Caparica , Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Mathematics and Applications (Nova Math) and Department of Mathematics , NOVA School of Science and Technology (NOVA FCT) , Universidade Nova de Lisboa , 2829-516 Caparica , Portugal","institution_ids":["https://openalex.org/I83558840"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100038755","display_name":"R\u00faben Palma","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I83558840","display_name":"Universidade Nova de Lisboa","ror":"https://ror.org/02xankh89","country_code":"PT","type":"education","lineage":["https://openalex.org/I83558840"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"R\u00faben Palma","raw_affiliation_strings":["Center for Mathematics and Applications (Nova Math) and Department of Mathematics , NOVA School of Science and Technology (NOVA FCT) , Universidade Nova de Lisboa , 2829-516 Caparica , Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Mathematics and Applications (Nova Math) and Department of Mathematics , NOVA School of Science and Technology (NOVA FCT) , Universidade Nova de Lisboa , 2829-516 Caparica , Portugal","institution_ids":["https://openalex.org/I83558840"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I83558840"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.76944215,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.6669999957084656,"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":0.6669999957084656,"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":0.3278999924659729,"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/T11476","display_name":"Graph theory and applications","score":0.0010000000474974513,"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/unicyclic-graphs","display_name":"unicyclic graphs","score":0.9929999709129333},{"id":"https://openalex.org/keywords/distance-coloring","display_name":"distance coloring","score":0.7120000123977661},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"graph coloring","score":0.609000027179718},{"id":"https://openalex.org/keywords/exact-values","display_name":"exact values","score":0.6169999837875366},{"id":"https://openalex.org/keywords/upper-bounds","display_name":"upper bounds","score":0.6299999952316284}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6328999996185303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5681999921798706},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.48260000348091125},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41290000081062317},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3855000138282776},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3456000089645386},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.24539999663829803},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.23839999735355377},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.22599999606609344}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.47443/dml.2026.206","doi":"https://doi.org/10.47443/dml.2026.206","is_oa":true,"landing_page_url":"https://doi.org/10.47443/dml.2026.206","pdf_url":"https://doi.org/10.47443/dml.2026.206","source":{"id":"https://openalex.org/S4210212609","display_name":"Discrete Mathematics Letters","issn_l":"2664-2557","issn":["2664-2557"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","norway-1","poland-20","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics Letters","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8e83568b44a6404c8ae923a16448c183","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/8e83568b44a6404c8ae923a16448c183","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics Letters, Vol 18, Pp 107-114 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.47443/dml.2026.206","doi":"https://doi.org/10.47443/dml.2026.206","is_oa":true,"landing_page_url":"https://doi.org/10.47443/dml.2026.206","pdf_url":"https://doi.org/10.47443/dml.2026.206","source":{"id":"https://openalex.org/S4210212609","display_name":"Discrete Mathematics Letters","issn_l":"2664-2557","issn":["2664-2557"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","norway-1","poland-20","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4682719911","display_name":null,"funder_award_id":"UID/297/2025","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G8176001378","display_name":null,"funder_award_id":"UID/PRR/297/2025","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223569855.pdf","grobid_xml":"https://content.openalex.org/works/W7223569855.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2953019613","https://openalex.org/W3187145836","https://openalex.org/W758116587","https://openalex.org/W2070077941","https://openalex.org/W6906336241","https://openalex.org/W1978123108","https://openalex.org/W2275909806","https://openalex.org/W61099736","https://openalex.org/W7098818707","https://openalex.org/W1982241289"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,23],"k-distance":[3],"chromatic":[4],"number":[5],"of":[6],"unicyclic":[7],"graphs,":[8],"providing":[9],"exact":[10],"values":[11],"for":[12,17],"some":[13],"families":[14],"and":[15],"bounds":[16],"others,":[18],"with":[19],"particular":[20],"emphasis":[21],"on":[22],"case":[24],"k":[25],"=":[26],"3.":[27]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-10-26T00:00:00"}
