OJDM  Vol.6 No.2 , April 2016
The Rupture Degree of Graphs with k-Tree
Abstract: A k-tree of a connected graph G is a spanning tree with maximum degree at most k. The rupture degree for a connected graph G is defined by , where and , respectively, denote the order of the largest component and number of components in . In this paper, we show that for a connected graph G, if  for any cut-set , then G has a k-tree.
Cite this paper: Li, Y. , Wang, Q. and Wang, X. (2016) The Rupture Degree of Graphs with k-Tree. Open Journal of Discrete Mathematics, 6, 105-107. doi: 10.4236/ojdm.2016.62011.

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