Degree subtraction energy of commuting and non-commuting graphs for dihedral groups

• Main Authors: Romdhini, Mamika Ujianita, Nawawi, Athirah
• Format: Article
• Language: English
• Published: Badih Ghusayni 2023
• Online Access: http://psasir.upm.edu.my/id/eprint/107222/1/Degree%20subtraction%20energy%20of%20commuting%20and%20non-commuting%20graphs%20for%20dihedral%20groups.pdf; http://psasir.upm.edu.my/id/eprint/107222/; https://future-in-tech.net/18.3/R-MathTech22-Romdhini-Nawawi.pdf

Let ¯ ΓG and ΓG be the commuting and non-commuting graphs on a finite group G, respectively, having G\Z(G) as the vertex set, where Z(G) is the center of G. The order of ¯ ΓG and ΓG is |G\Z(G)|, denoted by m. For ΓG, the edge joining two distinct vertices vp,vq ∈ G\Z(G) if and only if vpvq= vqvp, on...