Abstract: Coloring a graph is a known and a classical problem in graph theory. It is also a known NP problem. In a graph G, the solution of coloring a graph is about coloring all the vertices of the ...

This project implements a graph data structure using an adjacency matrix. It allows users to create, modify, and analyze graphs, including running algorithms like Dijkstra's for shortest paths and ...

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 ...

This project provides a simple implementation of a weighted undirected graph using adjacency linked lists, designed to efficiently handle sparse graphs. It includes several classic graph algorithms ...

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 ...