THE INTERSECTION GRAPH REPRESENTATION OF A DIHEDRAL GROUP WITH PRIME ORDER AND ITS NUMERICAL INVARIANTS

Authors : Dewi Santri Ramdani; Zatta Yumni Awanis; I Gede Adhitya Wisnu Wardhana
article cite 9 Year 2022
source: BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN
Abstract

One of the concepts in mathematics that developing rapidly today is Graph Theory. The development of Graph Theory has been combined with Group Theory, that is by representing a group in a graph. The intersection graph from group , noted by , is a graph whose vertices are all non-trivial subgroups of group and two distinct vertices are adjacent in if and only if . In this research the intersection graph of a Dihedral group, we looking for the shapes and numerical invariants. The results obtained are if for , then has a subgraphs and subgraphs , the girth of the graph is 3, radius and diameter of the graph in a row is 2 and 3, and the chromatic number of the graph is


Concepts :
Advanced Graph Theory Research
Graph Labeling and Dimension Problems
article cite 9 Year 2022 source BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN
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2022 9