钦州学院学报
欽州學院學報
흠주학원학보
JOURNAL OF QINZHOU UNIVERSITY
2014年
11期
32-36
,共5页
Cayley有向图%正规Cayley有向图%自同构群
Cayley有嚮圖%正規Cayley有嚮圖%自同構群
Cayley유향도%정규Cayley유향도%자동구군
Cayley digraph%Normal Cayley digraph%automorphism group
群G的Cayley有向图Γ=Cay( G,S)叫做正规的,如果G的右正则表示R( G)在Γ的全自同构Aut(Γ)中正规。决定了10p( p素数)阶交换群和三类非交换群上的2度有向图的正规性,得到了3个新的2度非正规Cayley有向图。
群G的Cayley有嚮圖Γ=Cay( G,S)叫做正規的,如果G的右正則錶示R( G)在Γ的全自同構Aut(Γ)中正規。決定瞭10p( p素數)階交換群和三類非交換群上的2度有嚮圖的正規性,得到瞭3箇新的2度非正規Cayley有嚮圖。
군G적Cayley유향도Γ=Cay( G,S)규주정규적,여과G적우정칙표시R( G)재Γ적전자동구Aut(Γ)중정규。결정료10p( p소수)계교환군화삼류비교환군상적2도유향도적정규성,득도료3개신적2도비정규Cayley유향도。
A Cayley digraph Г=Cay( G,S) is called normal for G if the right representation R( G) of G is normal in the full automorphism group Aut(Г). As for given three kind of Groups with Order 10p, the normality of 2-valent directed Cayley graphs is determined,and three new non-normal 2-valent directed Cayley graph are found.
