A Structural Property of Trees with an Application to Vertex-Arboricity

作者:Wang, Ming-jia*; Han, Jing-ti
来源:Mathematical Problems in Engineering, 2017, 2017: 4259810.
DOI:10.1155/2017/4259810

摘要

We provide a structural property of trees, which is applied to show that if a plane graph G contains two edge-disjoint spanning trees, then its dual graph G* has the vertex-arboricity at most 2. We also show that every maximal plane graph of order at least 4 contains two edge-disjoint spanning trees.

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