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Download fileAnagram-free Graph Colouring and Colour Schemes
thesis
posted on 2019-02-26, 00:10 authored by TIMOTHY EDWARD WILSONGraphs model the connectivity of networks, and many researchers study how to colour the nodes of a graph under various restrictions. Anagram-free colouring is a type of graph colouring which requires the first half of every path through a graph to not be a permutation of the second half. This thesis answers questions about the number of colours required to anagram-free colour many types of graphs. It also studies anagram-free colouring in a wider context by introducing colour schemes, an axiomatic approach that unifies known types of graph colouring.