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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…
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…
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…