Minimum Conflict Free Colouring Parameterized by Treewidth

dc.contributor.authorGupta, Naman
dc.date.accessioned2020-12-30T10:03:19Z
dc.date.available2020-12-30T10:03:19Z
dc.date.issued2020
dc.descriptionOnly IISERM authors are available in the record.
dc.description.abstractConflict free q-Colouring of a graph G refers to the colouring of a subset of vertices of G using q colours such that every vertex has a neighbour of unique colour. In this paper, we study the Minimum Conflict free q-Colouring problem. Given a graph G and a fixed constant q, Minimum Conflict free q-Colouring is to find a Conflict free q-Colouring of G that minimises the number of coloured vertices. We study the Minimum Conflict free q-Colouring problem parameterized by the treewidth of G. We give an FPT algorithm for this problem and also prove running time lower bounds under Exponential Time Hypothesis (ETH) and Strong Exponential Time Hypothesis (SETH).en_US
dc.identifier.citationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 12016 LNCS, pp. 439-450en_US
dc.identifier.other10.1007/978-3-030-39219-2_35
dc.identifier.urihttps://link.springer.com/chapter/10.1007%2F978-3-030-39219-2_35
dc.identifier.urihttp://hdl.handle.net/123456789/3453
dc.language.isoenen_US
dc.publisherSpringer Linken_US
dc.subjectConflict free colouring of graphsen_US
dc.subjectParameterized complexityen_US
dc.subjectFPT algorithmsen_US
dc.subjectTreewidthen_US
dc.titleMinimum Conflict Free Colouring Parameterized by Treewidthen_US
dc.typeArticleen_US

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