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arXiv · 0902.1364

A Note on Contractible Edges in Chordal Graphs

N. S. Narayanaswamy·N. Sadagopan·Apoorve Dubey
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Abstract

Contraction of an edge merges its end points into a new vertex which is adjacent to each neighbor of the end points of the edge. An edge in a $k$-connected graph is {\em contractible} if its contraction does not result in a graph of lower connectivity. We characterize contractible edges in chordal graphs using properties of tree decompositions with respect to minimal vertex separators.

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N. S. Narayanaswamy, N. Sadagopan, Apoorve Dubey. 2009-02-09. A Note on Contractible Edges in Chordal Graphs. https://arxiv.org/abs/0902.1364

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