On some properties of co-maximal graphs of commutative rings

D Sinha, AK Rao, B Davvaz - National Academy Science Letters, 2021 - Springer
Let R be a finite commutative ring with identity. The co-maximal graph\varGamma (R) Γ (R)
is a graph with vertices as elements of R, where two distinct vertices a and b are adjacent if …

Bounds on the nullity, the H-rank and the Hermitian energy of a mixed graph

W Wei, S Li, H Ma - Linear and Multilinear Algebra, 2021 - Taylor & Francis
Given an n-vertex graph G with maximum degree Δ, the mixed graph DG is constructed from
G by orienting some of its edges, where G is called the underlying graph of DG. Let r H (DG) …

Construction and Nullity of Some Classes of Smith Graphs

GH Mohiaddin, KR Sharaf - 2018 International Conference on …, 2018 - ieeexplore.ieee.org
For the adjacency matrix A of a graph G, a number λ is an eigenvalue of G if for some non
zerovector X, AX= λX. The vector X is called the eigenvector corresponding to λ. The …

[PDF][PDF] Publications: Prof Irene Sciriha

I Sciriha - 2021 - staff.um.edu.mt
Publications: Prof Irene Sciriha Page 1 Publications: Prof Irene Sciriha Irene Sciriha1
1Department of Mathematics, Faculty of Science, University of Malta, Msida, Malta …

Null Spaces Dimension of the Eigenvalue-1 in a Graph

GH Mohiaddin, KR Sharaf - Science Journal of University of …, 2019 - sjuoz.uoz.edu.krd
In geographic, the eigenvalues and eigenvectors of transportation network provides many
informations about its connectedness. It is proven that the more highly connected in a …