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

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  • Ming-jia Wang
  • Jing-ti Han

Abstract

We provide a structural property of trees, which is applied to show that if a plane graph contains two edge-disjoint spanning trees, then its dual graph 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.

Suggested Citation

  • Ming-jia Wang & Jing-ti Han, 2017. "A Structural Property of Trees with an Application to Vertex-Arboricity," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-3, June.
    • Handle: RePEc:hin:jnlmpe:4259810
    DOI: 10.1155/2017/4259810
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