Author

Sayinath Udupa N.V

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Preprint Sep 2026

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

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 years. Motivated by these developments, in this paper, we investigate the spectral radius of the weighted adjacency matrix $A_f(G)$, where the...

Swathi Shetty, B. R. Rakshith, Sayinath Udupa N.V · 0 citations

Preprint Aug 2026

The Dual-Server Domination Number of Some Graph Operations

A subset $S \subseteq V(G)$ is called a dual-server dominating set if there exists a partition $\pi_S=\{R,B\}$ of $S$ such that every vertex in $V(G)\setminus S$ has at least one neighbour in $R$ and at least one neighbour in $B.$ The minimum cardinality of a DS-dominating set of $G$ is called the dual-server dominatio...

S. Rao, Sayinath Udupa N.V, N. Prathviraj · 0 citations