MUTATION AS METRIC ON PERMUTATION GROUP Sn

IF 0.2 Q4 MATHEMATICS

JP Journal of Algebra Number Theory and Applications Pub Date : 2023-11-06 DOI:10.17654/0972555523026

Kodjo Essonana Magnani

引用次数: 0

Abstract

Mutation of permutations corresponds to flip of triangulations. We give, in this article, an interpretation of mutation as a metric on the permutation group $S_n$. Using this metric, we characterize a class of permutations called singular permutations. We also establish a connection with Cayley graphs in the sense of its automorphism group. Received: July 17, 2023Revised: September 20, 2023Accepted: October 18, 2023

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置换群Sn上作为度量的突变

置换的突变对应于三角剖分的翻转。在本文中，我们给出了突变作为置换群S_n上的一个度量的解释。利用这个度量，我们描述了一类称为奇异排列的排列。我们还在Cayley图的自同构群意义上建立了它与Cayley图的联系。收稿日期:2023年7月17日修稿日期:2023年9月20日收稿日期:2023年10月18日

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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JP Journal of Algebra Number Theory and Applications MATHEMATICS-

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期刊介绍： The JP Journal of Algebra, Number Theory and Applications is a peer-reviewed international journal. Original research papers theoretical, computational or applied, in nature, in any branch of Algebra and Number Theory are considered by the JPANTA. Together with the core topics in these fields along with their interplay, the journal promotes contributions in Diophantine equations, Representation theory, and Cryptography. Realising the need of wide range of information for any emerging area of potential research, the journal encourages the submission of related survey articles as well.