Non-commuting graph of a group ✩

By Alireza Abdollahi, Saieed Akbari, H. Maimani. 2006

353 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/4539a767449cb2e5f95d925213b209b555ab921b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. A. M. Hassanabadi
2. Alireza Abdollahi
3. Wujie Shi
4. Huaquan Wei
5. A. Moghaddamfar
6. A. Skiba
7. Yanming Wang
8. Yangming Li

In Electrical and Electronic Engineering

1. Alireza Abdollahi
2. Wujie Shi
3. Huaquan Wei
4. A. Moghaddamfar
5. A. M. Hassanabadi

Citations in the corpus

• Noncyclic Graph of a Group (2007, background): “One can associate a graph to a group in many different ways (see for example [ 1 , 2, 8, 13, 14, 25]).”
• The coprime graph of a group (2014, background): “For example, prime graph [6] and the non-commuting graph [1], and of course Cayley graphs, which have a long history.”
• Certain properties of the power graph associated with a finite group (2013, background): “efined as follows: its vertices are the non-central elements of G, and two vertices are adjacent when they do not commute. Noncommuting graphs have been investigated by many authors (for instance, see [1, 28, 29, 31]). • The prime graph or Gruenberg-Kegel graph. Another graph which has deserved a lot”