Guillermo De Ita Luna , Cristina López Ramírez , Meliza González Contreras
{"title":"Modelling 3-Coloring of Outerplanar Graphs via Incremental Satisfiability","authors":"Guillermo De Ita Luna , Cristina López Ramírez , Meliza González Contreras","doi":"10.1016/j.endm.2018.07.014","DOIUrl":null,"url":null,"abstract":"<div><p>A novel method to model the problem of 3-coloring on outerplanar graphs is presented. The proposal is based on the specification of the logical constraints for the 3-coloring of an outerplanar graph in a dinaymic way, resulting in a polynomial-time instance of the incremental satisfiability problem. This proposal can be extended to consider other polynomial-time instances of the 3-coloring problem.</p></div>","PeriodicalId":35408,"journal":{"name":"Electronic Notes in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.endm.2018.07.014","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Notes in Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1571065318301586","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
A novel method to model the problem of 3-coloring on outerplanar graphs is presented. The proposal is based on the specification of the logical constraints for the 3-coloring of an outerplanar graph in a dinaymic way, resulting in a polynomial-time instance of the incremental satisfiability problem. This proposal can be extended to consider other polynomial-time instances of the 3-coloring problem.
期刊介绍:
Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.