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Author

N. Prathviraj

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Sep 2026

Further Properties of the Vertex-Block Zagreb Indices of Graphs

A topological index is a graph invariant with applications in chemistry. The first and second Zagreb indices are degree-based topological indices of molecular graphs. A block of a graph G is a maximal connected subgraph of G that contains no cut-vertex. The vb-degree of a vertex is defined as the number of blocks inc...

Anusha Laxmana, Sayinath Udupa Nagara Vinayaka, N. Prathviraj · 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

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