Article ID Journal Published Year Pages File Type
394642 Information Sciences 2011 9 Pages PDF
Abstract

Let G be a graph. Then T ⊆ V(G) is called an Rk-vertex-cut if G − T is disconnected and each vertex in V(G) − T has at least k neighbors in G − T. The size of a smallest Rk-vertex-cut is the Rk-vertex-connectivity of G and is denoted by κk(G). In this paper, we determine the numbers κ1 and κ2 for Cayley graphs generated by 2-trees, including the popular alternating group graphs.

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Physical Sciences and Engineering Computer Science Artificial Intelligence
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