A Note on the Thue Chromatic Number of Lexicographic Products of Graphs

A sequence is called non-repetitive if none of its subsequences forms a repetition (a sequence r1r2⋯r2n such that ri = rn+i for all 1 ≤ i ≤ n). Let G be a graph whose vertices are coloured. A colouring ϕ of the graph G is non-repetitive if the sequence of colours on every path in G is non-repetitive...

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Bibliographic Details
Main Authors: Peterin Iztok, Schreyer Jens, Škrabul’áková Erika Fecková, Taranenko Andrej
Format: Article
Language:English
Published: Sciendo 2018-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2032