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Pendant Domination Polynomial of the Corona of a Wheel and an Independent Graph

Mathematics Division, Department of Teacher Education, Um-digos College, Digos City, Philippines.
Corresponding Author: Samuel John E. Parreno. Email: parreno@umindanao.edu.ph

Annals of Communications in Mathematics 2026, (2026), In Press.
Received: 01 January 2026 |
Accepted: 15 February 2026 |
Published:

Abstract. 

Let WM be the wheel graph on M ≥ 4 vertices and let Kn be the independent graph on n ≥ 1 vertices. We study the corona product WM ◦ Kn and obtain an explicit formula for its pendant domination polynomial. The computation starts from the domination polynomial and subtracts a correction term that counts dominating sets whose induced subgraph contains no vertex of degree 1. For the wheel, the correction term reduces to counting subsets of the rim cycle for which the selected rim vertices are not isolated on the rim. We also determine the pendant domination number for this family.

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Cite This Article

Samuel John E. Parreno.
Pendant Domination Polynomial of the Corona of a Wheel and an Independent Graph.
Annals of Communications in Mathematics
2026,
(2026):
In Press.

Creative Commons License
Copyright © 2026 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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