Tools for parsimonious edge-colouring of graphs with maximum degree three

Abstract

The notion of a δ-minimum edge-colouring was introduced by J-L. Fouquet (in his french PhD Thesis FouPhD). Here we present some structural properties of δ-minimum edge-colourings, partially taken from the above thesis. The paper serves as an auxiliary tool for another paper submitted by the authors to Graphs and Combinatorics.

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