Authors:
P. Li, W. Liu
Title:
Decompositions of cubic traceable graphs
Source:
Discussiones Mathematicae Graph Theory
Received 06.02.2017, Revised 18.01.2018, Accepted 18.01.2018, doi: 10.7151/dmgt.2132

Abstract:
A traceable graph is a graph with a Hamilton path. The 3-Decomposition Conjecture states that every connected cubic graph can be decomposed into a spanning tree, a 2-regular graph and a matching. We prove the conjecture for cubic traceable graphs.

Keywords:
decomposition, cubic traceable graph, spanning tree, matching, 2-regular graph

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