{"id":"https://openalex.org/W2962914686","doi":"https://doi.org/10.1007/s00373-019-02038-x","title":"Sufficient Conditions on Planar Graphs to Have a Relaxed DP-3-Coloring","display_name":"Sufficient Conditions on Planar Graphs to Have a Relaxed DP-3-Coloring","publication_year":2019,"publication_date":"2019-04-10","ids":{"openalex":"https://openalex.org/W2962914686","doi":"https://doi.org/10.1007/s00373-019-02038-x","mag":"2962914686"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-019-02038-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-019-02038-x","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","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/A5087456690","display_name":"Pongpat Sittitrai","orcid":"https://orcid.org/0000-0002-1770-8369"},"institutions":[{"id":"https://openalex.org/I179193067","display_name":"Khon Kaen University","ror":"https://ror.org/03cq4gr50","country_code":"TH","type":"education","lineage":["https://openalex.org/I179193067"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Pongpat Sittitrai","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Khon Kaen University, 40002, Khon Kaen, Thailand","Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Khon Kaen University, 40002, Khon Kaen, Thailand","institution_ids":["https://openalex.org/I179193067"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, Thailand","institution_ids":["https://openalex.org/I179193067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023616108","display_name":"Kittikorn Nakprasit","orcid":"https://orcid.org/0000-0002-0421-3631"},"institutions":[{"id":"https://openalex.org/I179193067","display_name":"Khon Kaen University","ror":"https://ror.org/03cq4gr50","country_code":"TH","type":"education","lineage":["https://openalex.org/I179193067"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Kittikorn Nakprasit","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Khon Kaen University, 40002, Khon Kaen, Thailand","Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, Thailand"],"raw_orcid":"https://orcid.org/0000-0002-0421-3631","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Khon Kaen University, 40002, Khon Kaen, Thailand","institution_ids":["https://openalex.org/I179193067"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, Thailand","institution_ids":["https://openalex.org/I179193067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023616108"],"corresponding_institution_ids":["https://openalex.org/I179193067"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3999,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.64423112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"35","issue":"4","first_page":"837","last_page":"845"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9546999931335449,"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":0.9546999931335449,"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/list-coloring","display_name":"List coloring","score":0.8042432069778442},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7831817865371704},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7764796018600464},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.6998611688613892},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.691047728061676},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.6853017210960388},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.6498154401779175},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6463930606842041},{"id":"https://openalex.org/keywords/greedy-coloring","display_name":"Greedy coloring","score":0.6396384239196777},{"id":"https://openalex.org/keywords/brooks-theorem","display_name":"Brooks' theorem","score":0.5461980700492859},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5434870719909668},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48291680216789246},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44472751021385193},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.3057898283004761},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.22942274808883667},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.15104272961616516},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.0761549174785614}],"concepts":[{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.8042432069778442},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7831817865371704},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7764796018600464},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.6998611688613892},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.691047728061676},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.6853017210960388},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.6498154401779175},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6463930606842041},{"id":"https://openalex.org/C38767284","wikidata":"https://www.wikidata.org/wiki/Q5601715","display_name":"Greedy coloring","level":5,"score":0.6396384239196777},{"id":"https://openalex.org/C51658606","wikidata":"https://www.wikidata.org/wiki/Q512897","display_name":"Brooks' theorem","level":5,"score":0.5461980700492859},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5434870719909668},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48291680216789246},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44472751021385193},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.3057898283004761},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.22942274808883667},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.15104272961616516},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0761549174785614},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-019-02038-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-019-02038-x","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8247145202","display_name":null,"funder_award_id":"RSA6180049","funder_id":"https://openalex.org/F4320322614","funder_display_name":"Thailand Research Fund"}],"funders":[{"id":"https://openalex.org/F4320322614","display_name":"Thailand Research Fund","ror":"https://ror.org/03gd1bh37"},{"id":"https://openalex.org/F4320324072","display_name":"Commission on Higher Education","ror":"https://ror.org/04s346m05"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W899176803","https://openalex.org/W1967561636","https://openalex.org/W2009827511","https://openalex.org/W2031223899","https://openalex.org/W2055443873","https://openalex.org/W2065461360","https://openalex.org/W2068363505","https://openalex.org/W2089023036","https://openalex.org/W2145878357","https://openalex.org/W2963609862","https://openalex.org/W2963837184","https://openalex.org/W2964117419","https://openalex.org/W4212970601","https://openalex.org/W4285719527","https://openalex.org/W6600228653"],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W4297911588","https://openalex.org/W1995859989","https://openalex.org/W2793500002","https://openalex.org/W3169197204","https://openalex.org/W4296943582","https://openalex.org/W3157287446","https://openalex.org/W2175082514","https://openalex.org/W151506147","https://openalex.org/W4212987857"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
