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arXiv · 1302.5038

On the relation between connectivity, independence and generalized caterpillars

M. Pedramfar·M. Shokrian·M. Tefagh
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Abstract

A spanning generalized caterpillar is a spanning tree in which all vertices of degree more than two are on a path. In this note, we find a relation between the existence of spanning generalized caterpillar and the independence and connectivity number in a graph. We also point out to an error in a "theorem" in the paper "Spanning spiders and light-splitting switches", by L. Gargano et al. in Discrete Math. (2004), and find out a relation between another mentioned theorem and the existence of spanning generalized caterpillar.

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M. Pedramfar, M. Shokrian, M. Tefagh. 2013-02-20. On the relation between connectivity, independence and generalized caterpillars. https://arxiv.org/abs/1302.5038

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