The n-Dimensional Burnt Pancake Graph is n∗-connected

نویسندگان

  • Li-Ping Yu
  • Lih-Hsing Hsu
چکیده

A k-container C(u, v) of a graph G is a set of kdisjoint paths joining u to v. A k-container C(u, v) of G is k∗-container if C(u, v) spans G. A graph G is k∗-connected if there exists a k∗-container between any two distinct vertices. Let κ(G) be the connectivity of G. In this paper, we prove that the n-dimensional burnt pancake graph Bn is n∗connected for any positive integer n.

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تاریخ انتشار 2008