Open AccessRadius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral
Author(s) -
Abdussakir Abdussakir
Publication year - 2017
Publication title -
mantik
Language(s) - English
Resource type - Journals
eISSN - 2527-3167
pISSN - 2527-3159
DOI - 10.15642/mantik.2017.3.1.1-4
Subject(s) - dihedral group , combinatorics , dihedral angle , mathematics , vertex (graph theory) , graph , abelian group , discrete mathematics , group (periodic table) , physics , quantum mechanics , hydrogen bond , molecule
Commuting graph C(G) of a non-Abelian group G is a graph that contains all elements of G as its vertex set and two distinct vertices in C(G) will be adjacent if they are commute in G. In this paper we discuss commuting graph of dihedral group D2n. We show radius, diameter, cycle multiplicity, and metric dimension of this commuting graph in several theorems with their proof.