Independent Domination Topology of the Friendship Graph and Its Line Graph

Carmelle Ezrah N. Sambaan *

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

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.

*Author to whom correspondence should be addressed.


Abstract

The independent domination topology of a graph is the topology generated by the family of all independent dominating sets of a graph [1]. In this paper, we explored the independent domination topology induced by the friendship graph and its corresponding line graph. Moreover, we established properties of the independent domination topology of the graphs and its cardinality. The results of this study provides a framework for understanding spatial properties of graphs on dierent surfaces, enabling practical applications demonstrated by real-world examples.

Keywords: Friendship graph, line graph, independent domination topology


How to Cite

Sambaan, Carmelle Ezrah N., Bhea B. Lausa, and Cherry Mae R. Balingit. 2024. “Independent Domination Topology of the Friendship Graph and Its Line Graph”. Asian Research Journal of Mathematics 20 (10):30-37. https://doi.org/10.9734/arjom/2024/v20i10842.