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 ...

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 and are ...

This project is part of the System Programming 2 course assignment at Ariel University. The task involves implementing various graph algorithms and data structures. Graph.hpp: Header file containing ...

ABSTRACT: For a simple undirected graph G, let A ( G ) be the (0, 1) adjacency matrix of G. The Seidel matrix of G, is defined as S ( G )=J−I−2A ( G ) , where J is the all-one matrix and I is the ...

Xue Ding, Tiefeng Jiang, SPECTRAL DISTRIBUTIONS OF ADJACENCY AND LAPLACIAN MATRICES OF RANDOM GRAPHS, The Annals of Applied Probability, Vol. 20, No. 6 (December 2010), pp. 2086-2117 ...

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 ...