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Graphs of Permutation Groups

by T. Chalapathi, R. V. M. S. S. Kiran Kumar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 179 - Number 3
Year of Publication: 2017
Authors: T. Chalapathi, R. V. M. S. S. Kiran Kumar
10.5120/ijca2017915872

T. Chalapathi, R. V. M. S. S. Kiran Kumar . Graphs of Permutation Groups. International Journal of Computer Applications. 179, 3 ( Dec 2017), 14-19. DOI=10.5120/ijca2017915872

@article{ 10.5120/ijca2017915872,
author = { T. Chalapathi, R. V. M. S. S. Kiran Kumar },
title = { Graphs of Permutation Groups },
journal = { International Journal of Computer Applications },
issue_date = { Dec 2017 },
volume = { 179 },
number = { 3 },
month = { Dec },
year = { 2017 },
issn = { 0975-8887 },
pages = { 14-19 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume179/number3/28716-2017915872/ },
doi = { 10.5120/ijca2017915872 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:54:20.228651+05:30
%A T. Chalapathi
%A R. V. M. S. S. Kiran Kumar
%T Graphs of Permutation Groups
%J International Journal of Computer Applications
%@ 0975-8887
%V 179
%N 3
%P 14-19
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we introduce and study permutation graphs of permutation groups. Basic, structural and specific properties of these graphs are investigated and characterized. Further, we obtain formulae for enumerating total number of shortest and longest cycles of permutation graphs.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Permutation groups Even and odd permutation graphs Triangles Hamilton cycles Disjoint Hamilton cycles.

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