Graph curvature and Laplacian operators form a vibrant area of research at the intersection of differential geometry and graph theory. The concept of graph curvature, inspired by classical Ricci ...

We consider the skew Laplacian matrix of a digraph G → obtained by giving an arbitrary direction to the edges of a graph G having n vertices and m edges. We obtain an upper bound for the skew ...

The spectral graph theory is the study of the properties of a graph in relation ship to the characteristic polynomial, eigenvalues and eigenvectors of its adjacency matrix or Laplacian matrix. For ...