TY - JOUR AU - Dewi Ramdani AU - I Gede Adhitya Wardhana AU - Zatta Awanis PY - 2022/09/01 Y2 - 2024/03/30 TI - THE INTERSECTION GRAPH REPRESENTATION OF A DIHEDRAL GROUP WITH PRIME ORDER AND ITS NUMERICAL INVARIANTS JF - BAREKENG: Jurnal Ilmu Matematika dan Terapan JA - BAREKENG: J. Math. & App. VL - 16 IS - 3 SE - Articles DO - 10.30598/barekengvol16iss3pp1013-1020 UR - https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6235 AB - 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   ER -