【摘要】 设G和H为m-一致超图,G×H为G和H的直积.研究直积G×H的循环指数c(G×H)和因子超图的循环指数c(G),c(H)之间的联系,证明了G×H是谱[c(G),c(H)]-对称的,从而[c(G),c(H)]整除c(G×H),其中[a,b]记正整数a,b的最小公倍数.更多还原

【Abstract】 Let G and H be two m-uniform hypergraphs, and let G×H be the direct product of G and H. This paper studied the relationship between the cyclic index c(G×H) of the product G×H and the cyclic indexes c(G), c(H) of the its factors, and proved that G×H was spectral [c(G),c(H)]-symmetric, and hence [c(G),c(H)] divides c(G×H), where [a,b] denoted the least common multiple of integers a,b.更多还原