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In this paper we consider the total bondage number bt(G) for Generalized Petersen graphs, which is defined as the minimum number of edges whose removal results in a new graph with larger total domination number. This parameter measures to some extent the robustness of an interconnection network with respect to link failures. Generalized Petersen graphs are an important class of commonly used interconnection...
Graph theory is the theoretical fundamental of network technologies. This paper reports an investigation of stability issues of the network technologies based on the graph theory. It also presents solutions of the geodetic number of graph Cm times Cn. There are many parameters which can measure to some extent the robustness of an interconnection network with respect to link failures, such as domination...
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