Article ID Journal Published Year Pages File Type
418467 Discrete Applied Mathematics 2016 9 Pages PDF
Abstract

Colour degree matrix problems, also known as edge-disjoint realisation and edge packing problems, have connections for example to discrete tomography. Necessary and sufficient conditions are known for a demand matrix to be the colour degree matrix of an edge-coloured forest. We give necessary and sufficient conditions for a demand matrix to be realisable by a graph with at most one cycle.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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