Induced Topologies of Independent Domination in Helm Graphs

Bhea B. Lausa *

Department of Mathematics, Central Mindanao University, Musuan, Maramag, Bukidnon, Philippines.

Cherry Mae R. Balingit

Department of Mathematics, Central Mindanao University, Musuan, Maramag, Bukidnon, Philippines.

Carmelle Ezrah N. Sambaan

Department of Mathematics, Central Mindanao University, Musuan, Maramag, Bukidnon, Philippines.

*Author to whom correspondence should be addressed.


Abstract

Let G be a graph. [1] The independent domination topology (ID topology) of G, denoted by TI (G) is the topology generated by the family IG of all independent dominating sets of G. In this paper, we introduce and characterize and describe the independent domination topology through the context of the independent dominating sets of the helm graph Hn. This study highlights the significance of this topology in optimizing network designs and computational systems, offering a foundation for future research and practical applications.

Keywords: Helm graph, independent domination topology


How to Cite

Lausa, Bhea B., Cherry Mae R. Balingit, and Carmelle Ezrah N. Sambaan. 2024. “Induced Topologies of Independent Domination in Helm Graphs”. Asian Research Journal of Mathematics 20 (10):38-46. https://doi.org/10.9734/arjom/2024/v20i10843.