Adiga, Chandrashekar and Ariamanesh, Haidar
(2012)
*Some Properties of Cayley Graphs on Symmetric Groups S_n.*
International Journal of Algebra, 6 (17-20).
pp. 807-813.
ISSN 1312-8868

Text (Full Text)
Some Properties of Cayley Graphs.pdf - Published Version Restricted to Registered users only Download (108kB) | Request a copy |

## Abstract

Let G be a finite group and S a subset of G such that S = S-1 and 1G /. S. Then the Cayley graph G = Cay(G,S) relative to S is the graph with vertex set G and edge set E(G(G,S)) = {gh | hg-1 . S}. Since S is inverse closed and does not contain the identity, this graph is undirected and has no loops. A nonempty subset S of G is called a Cayley subset if S = S-1 and 1G /. S. In this paper we determine the number of Cayley graphs on Symmetric group Sn and Alternating group An that are undirected. We also show that up to isomorphism there are exactly 8 Cayley graphs of S3 and 4 Cayley graphs of S4 of valency 2.

Item Type: | Article |
---|---|

Subjects: | E Mathematical Science > Mathematics |

Divisions: | Department of > Mathematics |

Depositing User: | C Swapna Library Assistant |

Date Deposited: | 28 Aug 2019 09:28 |

Last Modified: | 08 Jul 2022 11:04 |

URI: | http://eprints.uni-mysore.ac.in/id/eprint/7240 |

### Actions (login required)

View Item |