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In this paper, a complex k-out-of-n system reliability model based on expandable reliability block diagram is established. Moreover, a reliability calculation method is provided for this system. This method can accurately and efficiently forecast and estimate the reliability of product containing such system. Starting from model simplification and combining with minimal path set (MPS) method and improved...
This paper gives some applications of realizable Boolean matrices in graph theory. We apply realizable Boolean matrices to characterize clique, maximal clique, maximum clique and clique cover in graph theory. Particularly, we prove that the content of a realizable Boolean matrix is exactly the clique cover number of its corresponding undirected graph, and present algorithms to determine the content...
The Laplacian matrix is the difference of the diagonal matrix of vertex degrees and the adjacency matrix of a graph G. In this paper, we first give two sharp upper bounds for the radius of the Laplacian spectrum of G in terms of the edge number, the vertex number, the largest degree, the second largest degree and the smallest degree of G by applying non-negative matrix theory and graph theory. Then,...
The course of history of industrial design belongs to history courses, which is always considered as the courses people having to need more than simply repeat and strong memory on it, and teaching methods are boring and monotonous. In order to guide students in teaching, and make students have good thinking in learning, strengthen students' active consciousness, and make students play full role of...
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