Connectivity of Locally Exchanged Twisted Cubes∗
نویسندگان
چکیده
Connectivity κ(G) of a graph G is the minimum number of vertices whose removal leaves the remaining graph disconnected or trivial. This parameter is important for interconnection networks and can be used to measure reliability in such networks. In this paper, a new interconnection network called locally exchanged twisted cube (LETQ for short), denoted LeTQ(s, t), is proposed. We obtain some basic properties of LETQ including isomorphism, decomposition, hamiltonicity and connectivity. In particular, we determine κ(LeTQ(s, t)) = min{s+ 1, t+ 1}. Keyword: Interconnection networks; Exchanged hypercubes; Locally twisted cubes; Connectivity; Locally exchanged twisted cubes.
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تاریخ انتشار 2015