Some degree based connectivity indices of the polygonal cylinders of a graph
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Abstract
The polygonal cylinder $C_{m, n}$ is a graph obtained from Cartesian product of paths $P_m$ and $P_n$ and using topological identification of vertices and edges of two opposite sides $P_m \times P_n$. We have redefined the polygonal cylinder $C_{m, n}$ by using Cartesian product of $C_{m-1} \times P_n$. In this paper, we have introduced a closed polygonal cylinder $C_{[m, n]}$, is a graph obtained from Cartesian product of cycle $C_m$ and $P_n$. Further more we have obtained first and second Zagreb, F-index, first and second hyper-Zagreb, harmonic, Randić, sum-connectivity and atom-bond connectivity indices of polygonal cylinder and closed polygonal cylinder of a graph.
Keywords:
Polygonal cylinder, Zagreb index, hyper-Zagreb index, Randi´ c index, sum-connectivity index and ABC indexMathematics Subject Classification:
Mathematics- Pages: 775-781
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
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