A note on a spanning 3-tree

Abstract

A tree T is called a k-tree, if the maximum degree of T is at most k. In this paper, we prove that if G is an n-connected graph with independence number at most n + m + 1 (n≥1,nm≥0), then G has a spanning 3-tree T with at most m vertices of degree 3.

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Correspondence to Masao Tsugaki.

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Tsugaki, M. A note on a spanning 3-tree. Combinatorica 29, 127–129 (2009). https://doi.org/10.1007/s00493-009-2349-x

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Mathematics Subject Classification (2000)

  • 05C05