B. Rather

most citedOn Distribution of Laplacian Eigenvalues of Graphs

4 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2021★ 2 cited

On $A_{α}$ -spectrum of joined union of graphs and its applications to power graphs of finite groups

Bilal A. Rather, Hilal A. Ganie, S. Pirzada

For a simple graph $G$ , the generalized adjacency matrix $A_{α} (G)$ is defined as $A_{α} (G) = α D (G) + (1 - α) A (G), α \in [0, 1]$ , where $A (G)$ is the adjacency matrix and $D (G)$ is the diagona…

math.CO2021

On a conjecture of Laplacian energy of trees

Hilal A. Ganiea, Bilal A. Rather, S. Pirzada

Let $G$ be a simple graph with $n$ vertices, $m$ edges having Laplacian eigenvalues $μ_{1}, μ_{2}, \dots, μ_{n - 1}, μ_{n} = 0$ . The Laplacian energy $L E (G)$ is defined as $LE(G)=\sum_{i=1}^{…

math.CO2021★ 4 cited

On Distribution of Laplacian Eigenvalues of Graphs

Bilal A. Rather

The work in this thesis concerns the investigation of eigenvalues of the Laplacian matrix, normalized Laplacian matrix, signless Laplacian matrix and distance signless Laplacian ma…

math.CO2021

On normalized Laplacian eigenvalues of power graphs associated to finite cyclic groups

Bilal A. Rather, S. Pirzada, T. A. Chishti +1

For a simple connected graph $G$ of order $n$ , the normalized Laplacian is a square matrix of order $n$ , defined as $\mathcal{L}(G)= D(G)^{-\frac{1}{2}}L(G)D(G)^{-\frac{1}{2}…

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

On a conjecture of Laplacian energy of trees

On Distribution of Laplacian Eigenvalues of Graphs

On normalized Laplacian eigenvalues of power graphs associated to finite cyclic groups

On $A_{α}$ -spectrum of joined union of graphs and its applications to power graphs of finite groups