Sayinath Udupa N.V

activity

20242026

collaborators

4 papers

math.CO2026

Extremal Graphs with Prescribed Parameters for the Spectral Radius of Weighted Adjacency Matrices with Property $P^{*}$

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

In the literature, several graph matrices based on vertex degrees have been introduced, and the study of their spectral properties has attracted considerable attention in recent ye…

math.CO2026

The Dual-Server Domination Number of Some Graph Operations

Shrilaxmi Laxminarayana Rao, Sayinath Udupa N. V., Prathviraj N

A subset $S \subseteq V (G)$ is called a dual-server dominating set if there exists a partition $π_{S} = {R, B}$ of $S$ such that every vertex in $V (G) ∖ S$ has at least one nei…

math.CO2025

On extremal graphs with respect to the ABS index

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

Recently, Ali et al. posed several open problems concerning extremal graphs with respect to the ABS index. These problems involve characterizing graphs that attain the maximum ABS…

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…

Extremal Graphs with Prescribed Parameters for the Spectral Radius of Weighted Adjacency Matrices with Property P∗

The Dual-Server Domination Number of Some Graph Operations

On extremal graphs with respect to the ABS index

On the ABS spectrum and energy of graphs

Extremal Graphs with Prescribed Parameters for the Spectral Radius of Weighted Adjacency Matrices with Property $P^{*}$

On the $A BS$ spectrum and energy of graphs