Sarmin, N. H. and El-Sanfaz, M. A. and Omer, S. M. S. (2016) Groups and graphs in probability theory. In: 23rd Malaysian National Symposium of Mathematical Sciences: Advances in Industrial and Applied Mathematics, SKSM 2015, 24 November 2015 through 26 November 2015, Johor Bahru; Malaysia.
Full text not available from this repository.
Official URL: https://www.scopus.com/inward/record.uri?eid=2-s2....
Abstract
In this paper, G denotes a dihedral group of order 2n and Ω denotes the set of all subsets of all commuting elements of size two in the form of (a,b), where a and b commute and |a| = |b| = 2. By extending the concept of commutativity degree, the probability that an element of a group fixes a set can be acquired using the group actions on set. In this paper, the probability that an element of G fixes the set Ω under regular action is computed. The results obtained are then applied to graph theory, more precisely to generalized conjugacy class graph and orbit graph.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | conjugacy class graph |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 73216 |
| Deposited By: | Muhammad Atiff Mahussain |
| Deposited On: | 27 Nov 2017 02:00 |
| Last Modified: | 27 Nov 2017 02:00 |
Repository Staff Only: item control page
