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

Computer Science – Discrete Mathematics

Scientific paper

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arXiv admin note: substantial text overlap with arXiv:0809.4747

Scientific paper

The notion of a $\delta$-minimum edge-colouring was introduced by J-L.
Fouquet (in his french PhD Thesis \cite{FouPhD}). Here we present some
structural properties of $\delta$-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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