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.

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## 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) |
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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 |

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