B. R. Rakshith

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20242026

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math.CO2024

On the $A BS$ spectrum and energy of graphs

Swathi Shetty, B. R. Rakshith, Sayinath Udupa N.

Let $η_{1} \geq η_{2} \geq \dots \geq η_{n}$ be the eigenavalues of $A BS$ matrix. In this paper, we characterize connected graphs with $A BS$ eigenvalue $η_{n} > - 1$ . As…

math.CO2024

Bounds on the Inverse symmetric division deg index and the relation with other topological indices of graphs

Kinkar Chandra Das, B. R. Rakshith, Wojciech Macek

Let $G = (V, E)$ be a simple graph. The concept of Inverse symmetric division deg index $(I S D D)$ was introduced in the chemical graph theory very recently. In spite of this, a few pap…

math.CO2024

On Energy of Graphs with Self-Loops

B. R. Rakshith, Kinkar Chandra Das, B. J. Manjunatha

Let G be a simple graph on n vertices with vertex set V(G). The energy of G, denoted by, $E (G)$ is the sum of all absolute values of the eigenvalues of the adjacency matr…

On the ABS spectrum and energy of graphs

Bounds on the Inverse symmetric division deg index and the relation with other topological indices of graphs

On Energy of Graphs with Self-Loops

On the $A BS$ spectrum and energy of graphs