1) normal Cayley digraph
正规Cayley有向图
2) normal Cayley digraphs
正规Cayley有向图
3) normal Cayley graph
正规Cayley图
1.
In this paper we classify the 4-valent, one-regular and normal Cayley graphs of dihedral groups D2n with vertex-stabilizer Z22.
本文对二面体群D2n以Z22 为点稳定子的4度正规Cayley图进行了分类。
4) Cayley digraph
Cayley有向图
1.
Furhter investigation on strong connectivity of Cayley digraph
Cayley有向图强连通度的进一步研究
2.
The two methods of finding the directed Hamilton cirle of a Cayley digraph of a finite group were given.
给出了求有限群Cayley有向图的有向Hamilton圈的两种方法,并给出了阶为23P的群的Cayley有向图的有向Hamilton圈。
3.
In this paper,it is proved that a connected Cayley digraph X=Cay(G,S) of order 4p(p prime) with valency 2 is non-normal if and only if X≌-(2p),Aut(X)≌Z-2 wr Z-(2p),and either G=Z-(4p)=〈e〉,S={e,e~(2p+1)} or G=Z-(2p)×Z-2=〈e〉×〈f〉,S={e,ef}.
证明了4p(p素数)阶群上2度连通Cayley有向图X=Cay(G,S)非正规的充分必要条件是X≌C2p[2K1],Aut(X)≌Z2wrZ2p,且G=Z4p=〈e〉,S={e,e2p+1}或G=Z2p×Z2=〈e〉×〈f〉,S={e,ef}。
5) Cayley digraph
有向Cayley图
1.
The Cayley digraph of a group G with generating set M, denoted Cay(M∶G), is the digraph whose vertex set is G and whose arc set consists of an arc from g to gs whenever g∈G and s∈M.
研究Zn上的有向Cayley图的Hamilton圈的存在性,给出了有向Cayley图Cay(M∶Zn)存在Hamilton圈的若干充分条件。
2.
Abelian Cayley digraphΓ= Cay(G, S) with degree 2 is defined as follows:V(Γ) = G, E(T) = {(x,x + g) |x∈G,g∈S} .
则群G上的2度有向Cayley图Γ=Cay(G，S)定义为:V(Γ)=G，E(Γ)={(x，x+g)|x∈G，g∈S)。
6) nonnormal Cayley digraphs
非正规Cayley图
补充资料：图的减缩图(或称图子式)
图的减缩图(或称图子式)
minor of a graph
图的减缩图(或称图子式)【.皿以ofa脚户;MHHoPrpa中a」【补注】设G是一个图(graph)(可以有环及多重边).G的一个减缩图(nullor)是从G中接连进行下述运算而得的任何一个图: i)删去一条边; 五)收缩一条边; 说)去掉一个孤立顶点. NRobe由on与P.D.Se脚aour的图减缩定理(脚Ph nl的。r theon习11)如下所述:已知有限图的无穷序列G，，GZ，…，则存在指标i
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条