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1)  Bi-Cayley graph
Bi-Cayley图
1.
For a finite group G and a subset S(possibly,it contains the identity element) of G,the Bi-Cayley graph X=BC(G,S) of G with respect to S is defined as the bipartite graph with vertex set G×{0,1} and edge set {{(g,0),(sg,1)}:g∈G,s∈S}.
设G是一个有限群,S是G的一个子集,Bi-Cayley图BC(G,S)是一个二部图:其顶点集为G×{0,1},而边集为{{(g,0),(sg,1)}:g∈G,s∈S}。
2)  Bi-Cayley graphs
Bi-Cayley图
1.
Chapter two is devoted to studying super-edge-connected and optimally super-edge-connected Bi-Cayley graphs.
第二章主要研究Bi-Cayley图的超边连通性和最优超边连通性。
3)  cayley graphs
Cayley图
1.
On ColAut_S (G)-vertex-transitive Cayley graphs of semigroups;
半群Cayley图的保色点传递性
2.
Restricted edge connectivity of Cayley graphs with Quasiminiaml Cayley set;
具有拟极小Cayley集的Cayley图的限制性边连通度
3.
Hamiltonian factorization of 2~n P~m degrees Cayley graphs
2~np~m阶群上Cayley图的Hamilton圈分解
4)  Cayley graph
Cayley图
1.
Edge-Hamilton property of Cayley graph of order p~3;
p~3阶Cayley图的边Hamilton性
2.
The l-edge-connectivity of the 3-regular Cayley graph;
3-正则Cayley图的l-边-连通度
3.
Some Hamiltonian Cayley Graphs;
几类Cayley图的Hamilton性
5)  Cayley graph
Cayley 图
6)  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}。
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
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