Symmetry properties of Cayley graphs of small valencies on the alternating group A5

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：shizex

【摘要】

：

The normality of symmetry property of Cayley graphs of valencies 3 and 4 on the alternating group A5 is studied. We prove that all but four such graphs are norm

【作者】

：

Mingyao Xu (1) Shangjin Xu (

【机构】

：

1.LMAM&,SchoolofMathematicalSciences

【出处】

：

中国科学：数学英文版

【发表日期】

：

2004年4期

【关键词】

：

CAYLEY graph m-CI-group NORMAL CAYLEY graph arc-transitive graph GRR of a gr

【基金项目】

：

This work was supported by the National Natural Science Foundation of China (Grant Nos. 19831050 and 10161001) and by RFDP (2000000102).

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

The normality of symmetry property of Cayley graphs of valencies 3 and 4 on the alternating group A5 is studied. We prove that all but four such graphs are normal;that A5 is not 5-CI. A complete classification of all arc-transitive Cayley graphs on A5 of

其他文献

The first cohomology group of trivial extensions of special biserial algebras

Given a finite dimensional special biserial algebra A with normed basis we obtain the dimension formulae of the first Hochschild homology groups of A and the ve

期刊

HOCHSCHILD(co)homologyTRIVIALextensionSPECIALbiserialalgebra.Hochschild

The blowup for 2-D quasilinear wave equations with cubic nonlinearity

For 2-D quasilinear wave equations with cubic nonlinearity and small initial data, we not only show that the solutions blow up in finite time but also give a co

期刊

lifespanblowupGoursatproblemNash-Moseriteration.lifespan blowup Goursat

Relations between Lipschitz functions and convex functions

We discuss the relationship between Lipschitz functions and convex functions.By these relations, we give a sufficient condition for the set of points where Lips

期刊

Mathematical stencil and its application in finite difference approximation to the Poisson equation

The concept of mathematical stencil and the strategy of stencil elimination for solving the finite difference equation is presented, and then a new type of the

期刊

MATHEMATICALstencilSTENCILeliminationPOISSONequationfinitedifference

Exponential convergence rate in Boltzmann-Shannon entropy

This paper deals with the optimal exponential convergence rate βto the equilibrium state in Boltzmann-Shannon entropy for general Markov semigroups. We prove a

期刊

MarkovsemigroupsB-S熵光谱豁开对数的Sobolev常数Markov semigroups B-S entropy spectr

Stability of Julia sets for a quadratic random dynamical system

For a sequence (cn) of complex numbers, the quadratic polynomials fcn:= z2 + cn and thesequence (Fn) of iterates Fn: = fcn o ... o fc1 are considered. The Fatou

期刊

FatousetJuliasetRANDOMiteratesstability.Fatou set Julia set random ite

On the Markov equivalence of maximal ancestral graphs

Necessary and sufficient conditions for a maximal ancestral graph (MAnG)to be Markov equivalent to another MAnG and to a DAG are provided respectively. Also a p

期刊

MAXIMALancestralgraphMARKOVequivalenceMINIMALCOLLIDERpathm-separation

Some Penrose transforms in complex differential geometry

In this article, we review a construction in the complex geometry often known as the Penrose transform. We then present two new applications of this transform.

期刊

PenrosetransformsymmetriesMASSLESSfieldsCRembedding.Penrose transform

Derivations of generalized Weyl algebras

A class of the associative and Lie algebras A[D] = A × F[D] of Weyl type are studied, where Ais a commutative associative algebra with an identity element

期刊

WEYLalgebraderivationLOCALLYfinite.Weyl algebra derivation locally finite

Determinant representation of Darboux transformation for the AKNS system

The n-fold Darboux transform (DT) is a 2×2 matrix for the Ablowitz-Kaup-Newell-Segur (AKNS) system.In this paper,each element of this matrix is expressed b

期刊

DARBOUXtransformationAKNSSYSTEM(Ablowitz-Kaup-Newell-SegurSystem)determina

Symmetry properties of Cayley graphs of small valencies on the alternating group A5

与本文相关的学术论文