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- W2532770346 abstract "In several parallel distributed processing systems, processors are connected on the basis of interconnection networks. The topological structure of an interconnection network can be modeled as a loopless undirected graph G = (V,E) where V is the vertex set and E the edge set of G. For a vertex subset V' V of graph G, the subgraph of G induced by V', denoted by G[V'], is a graph with vertex set V' and all the edges of G with both ends of vertices in V'. An m-induced subgraph of a graph is such one which induced by m vertices. A maximum m-induced subgraph of a graph G, denoted by Vmax m (G), can be defined as Vmax m (G) = {G[V'] | max V'V,|V|=m |E(G[V'])| . The results of maximum m-induced subgraph can be applied to the measurement of fault tolerance and bandwidth of networks, and also relate to electromechanical or optical sensors. Abdel-Ghaffar has shown the maximum m-induced subgraphs on the n-dimensional hypercubes in 2003. In this paper, we investigate in constructing the maximum m-induced subgraphs and working out the number of edges of the maximum m-induced subgraphs on the n-dimensional crossed cubes." @default.
- W2532770346 created "2016-10-28" @default.
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- W2532770346 date "2009-12-01" @default.
- W2532770346 modified "2023-09-26" @default.
- W2532770346 title "Induced subgraphs with maximum number of edges on crossed cubes" @default.
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- W2532770346 doi "https://doi.org/10.1109/jcpc.2009.5420072" @default.
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