pqr阶Cayley图的反符号星控制数

On Reverse Signed Star Domination Number on Cayley Graphs of Order pqr

当群Γ的换位子群Γ的阶数为qr时,根据图的反符号星控制数的概念,确定了pqr阶群Γ上Cayley图X(Γ,M)的反符号星控制数γrss(X(Γ,M)),其中2<p<q<r,且p,q,r为互异的素数,M表示群Γ的极小生成集.

Based on the concept of reverse signed star domination number ,in this paper we have determined the reverse signed star domination number γrss （X（Γ,M）） for Cayley graphs X（Γ,M） on group Γ of order pqr （2〈 p〈q〈 r ,p ,q ,r are different primes） ,when ｜Γ｜=qr and M denote group Γof minimal generating set .