Abstract

The l-component (edge) connectivity of a graph G, denoted by cκl(G) (cλl(G)), is the minimum number of vertices (edges) whose removal from G results in a disconnected graph with at least l components. The pancake graph Pn is a popular underlying topology for distributed systems. In the paper, we determine the cκl(Pn) and cλl(Pn) for 3 ≤ l ≤ 5.

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