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Research ArticleVol. 1, No. 1 (2025)11 February 2026

Vertex Polynomial for Switching in Various Graphs

P. Maya, G. R. Sanma

The vertex polynomial of a graph G is defined as V(G, x) = Σ vₖxᵏ (k = 0 to Δ(G)), where Δ(G) = max{d(v) / v ∈ V} and vₖ is the number of vertices of degree k. In this paper, we find some results on the vertex polynomial…

Research ArticleVol. 1, No. 2 (2026)19 May 2026

Eccentricity Based Topological Indices of Polygonal Cylinder

S. Sowmya, J. Suthiesh Goldy

A topological index plays a vital role in molecular chemistry. There are various topological descriptors in theoretical chemistry, in particular degree-based, distance-based, eccentricity-based and counting-related indic…