The first line of the input contains a positive integer n, the number of vertices in the graph, in the range 1 to 1000. The next lines represents the Adjacency matrix representation of the given graph ...

Abstract: This paper proposes a compression framework for adjacency matrices of weighted graphs based on graph filter banks. Adjacency matrices are widely used mathematical representations of graphs ...

Let G be a graph, A(G) be the adjacency matrix of G, and λ(G) the least eigenvalue of A(G). Information is given about the following three quantities: $\lambda_R(G ...

We investigate the rank of the adjacency matrix of large diluted random graphs: for a sequence of graphs (G n ) n≥0 converging locally to a Galton—Watson tree T (GWT), we provide an explicit formula ...

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Department of Mathematics and Statistics, Qinghai Minzu University, Xining, China. Since then, much attention has been paid to this topic, but they mainly focus on undirected graphs and integral trees ...