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 ...
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 ...
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 ...
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 ...
Data exploration, usually the first step in data analysis, is a useful method to tackle challenges caused by big geoscience data. It conducts quick analysis of data, investigates the patterns, and ...