On -spectrum of joined union of graphs and its applications to power graphs of finite groups

BA Rather, HA Ganie, S Pirzada - Journal of Algebra and its …, 2023 - World Scientific
For a simple graph G, the generalized adjacency matrix A α (G) is defined as A α (G)= α D
(G)+(1− α) A (G), α∈[0, 1], where A (G) is the adjacency matrix and D (G) is the diagonal …

[PDF][PDF] On the spread of the distance signless Laplacian matrix of a graph

S Pirzada, MAU Haq - Acta Univ. Sapientiae Informatica, 2023 - intapi.sciendo.com
Let G be a connected graph with n vertices, m edges. The distance signless Laplacian
matrix DQ (G) is defined as DQ (G)= Diag (Tr (G))+ D (G), where Diag (Tr (G)) is the diagonal …