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4 results found

Research ArticleVol. 1, No. 2 (2026)10 June 2026

Tensor Sum Operator and Dynamical System in Measurable Function Spaces

G. S. Vigneswari, P. Chandra Kala, P. Sujin

Let X be a Hausdorff topological space and let B(E) be the Banach algebra of all bounded linear operators on a Banach space E. Let V be a system of weights on X. In this paper, a dynamical system induced by tensor sum op…

Research ArticleVol. 1, No. 2 (2026)3 June 2026

The Hop Domination Number of Comb Product Graphs

D. Anusha, S. Joseph Robin

A set S ⊆ V of a graph G is a hop dominating set of G if for every v ∈ V − S, there exists u ∈ S such that d(u, v) = 2. The minimum cardinality of a hop dominating set of G is called the hop domination number and is deno…

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…

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…