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arXiv · 1012.4152

Minimum K_2,3-saturated Graphs

Ya-Chen Chen
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Abstract

A graph is K_{2,3}-saturated if it has no subgraph isomorphic to K_{2,3}, but does contain a K_{2,3} after the addition of any new edge. We prove that the minimum number of edges in a K_{2,3}-saturated graph on n >= 5 vertices is sat(n, K_{2,3}) = 2n - 3.

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Ya-Chen Chen. 2012-11-11. Minimum K_2,3-saturated Graphs. https://arxiv.org/abs/1012.4152

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