On the commuting graph associated with the symmetric and alternating groups

Iranmanesh A; Jafarzadeh A

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On the commuting graph associated with the symmetric and alternating groups

机译：在与对称和交替组相关的通勤图上

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The commuting graph of a group G, denoted by G( G), is a simple undirected graph whose vertices are all non-central elements of G and two distinct vertices x, y are adjacent if xy = yx. The commuting graph of a subset of a group is defined similarly. In this paper we investigate the properties of the commuting graph of the symmetric and alternating and subsets of transpositions and involutions in the symmetric groups.

机译：G组的换向图由G（G）表示，是一个简单的无向图，其顶点都是G的非中心元素，并且如果xy = yx，则两个不同的顶点x，y相邻。相似地定义组的子集的通勤图。在本文中，我们研究了对称组中对称和交替的换位图以及换位和对合的子集的性质。

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《Journal of algebra and its applications》 |2008年第1期|共18页
作者
Iranmanesh A; Jafarzadeh A;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
commuting graph; symmetric group; alternating group; connected graph; diameter; FINITE SIMPLE-GROUPS; COMPONENTS; SUBGROUPS;

机译：交换图;对称群;交替群;连通图;直径;有限简单组;成分;子组;

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专利

1. On the commuting graph associated with the symmetric and alternating groups [J] . Iranmanesh A, Jafarzadeh A Journal of algebra and its applications . 2008,第1期

机译：在与对称和交替组相关的通勤图上
2. On the Diameters of Commuting Graphs Arising from Random Skew-Symmetric Matrices [J] . PETER HEGARTY, DMITRII ZHELEZOV Combinatorics, probability & computing: CPC . 2014,第3期

机译：关于随机偏对称矩阵产生的通勤图直径
3. A Note on Commuting Graphs for Symmetric Groups [J] . C. Bates, D. Bundy, GermanyS. Hart, The Journal of Combinatorics . 2009,第1期

机译：关于对称组图的通记
4. Description of the First Disc Δ_1(t) of the Commuting Graph C(G,X) for Elements of Order Three in Symmetric Groups [C] . Athirah Nawawi, Peter Rowley International Conference on Mathematical Sciences and Statistics . 2016

机译：通勤图C（g，x）的第一盘Δ_1（t）用于对称组中的三个元素的元素
5. Almost Commuting Elements in Non-Commutative Symmetric Operator Spaces. [D] . Said, Mustafa. 2014

机译：非交换对称算子空间中的几乎交换元素。
6. Public employees in South-Western Norway using an e-bike or a regular bike for commuting – A cross-sectional comparison on sociodemographic factors commuting frequency and commuting distance [O] . Anette B. Jahre, Elling Bere, Solveig Nordengen, 2019

机译：挪威西南部的公共雇员使用电动自行车或常规自行车上下班–社会人口统计学因素上下班频率和上下班距离的横截面比较
7. Commuting Graphs, C(G, X) in Symmetric Groups Sym(n) and Its Connectivity [O] . Athirah Nawawi, Sharifah Kartini Said Husain, Muhammad Rezal Kamel Ariffin 2019

机译：在对称组中的通勤图形，C（g，x）sym（n）及其连接

On the commuting graph associated with the symmetric and alternating groups

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