Abstract
Interconnection networks are emerging as an approach to solving system-level communication problems. A network may be modeled by a graph whose vertices represent the nodes, and whose edges represent communication links. For any vertex v in a graph G, let \(N_G(v)\) denote the open neighborhood of v, and let \(N_G[v] = \{v\} \cup N_G(v)\) denote the closed neighborhood of v. The connectivity has long been a classic factor that characterizes both network reliability and fault tolerance. A set F of vertex subsets of G is called a neighborhood-cut if \(G-F\) is disconnected, and each element of F happens to be the closed neighborhood of some vertex in G. The neighborhood-connectivity of G is the minimum cardinality over all neighborhood-cuts in G. The locally twisted cube network is a promising alternative to hypercube, which is well known as one of the most popular network architectures for high-performance computing. In this paper, we determine the exact neighborhood-connectivity of locally twisted cubes.
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This work is supported in part by the Ministry of Science and Technology, Taiwan, under Grant No. MOST 109-2221-E-468-009-MY2.
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Kung, TL., Lin, CK., Hung, CN. (2022). On the Neighborhood-Connectivity of Locally Twisted Cube Networks. In: Barolli, L., Yim, K., Chen, HC. (eds) Innovative Mobile and Internet Services in Ubiquitous Computing. IMIS 2021. Lecture Notes in Networks and Systems, vol 279. Springer, Cham. https://doi.org/10.1007/978-3-030-79728-7_31
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