An adjacency matrix is a two-dimensional array that stores the edges between two vertices as boolean values. The rows and columns of the matrix represent the vertices of the graph. Let's look at an ...

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 ...

Abstract: This work seeks to interconnect the well-known concept of the graph Laplacian with its edge counterpart, the Edge Laplacian with respect to a new and updated definition of edge-degree and ...