The complexity of $P$<sub>4</sub>-decomposition of regular graphs and multigraphs

Let G denote a multigraph with edge set E(G), let &micro;(G) denote the maximum edge multiplicity in G, and let Pk denote the path on k vertices. Heinrich et al.(1999) showed that P4 decomposes a connected 4-regular graph G if and only if |E(G)| is divisible by 3. We show that P4 decomposes a co...

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Bibliographic Details
Main Authors: Ajit Diwan, Justine Dion, David Mendell, Michael Plantholt, Shailesh Tipnis
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2015-09-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2128/pdf