HAMILTONIAN DECOMPOSITION OF CAYLEY GRAPHS OF ORDERS p~2 AND pq

1. IntroductionLet G be a finite group and S a subset of G such that S--1 ~ S, and 1 f S. The Cayleygraph Cay (G, S) is defined as the simple graph with V ~ G, and E = {glgZ I g,'g, or g,'g,6 S, gi, gi E G}. Cay (G, S) is vertex-transitive, and it is connected if and only if (S) = G,i.e. S is a generating set of G[1]. If G = Zn, then Cay (Zn, S) is called a circulant graph. Ithas been proved that any connected Cayley graph on a finite abelian group is hamiltonianl2].Furthermore, …     

无圈超图的计数

研究了标号超图的计数, 得到2个公式: 一个是关于严格(D)-连通无圈齐超图的显式计数公式, 另一个是关于线性无圈超图数目的递推公式.     

涡流发生器强化暖气片散热特性的数值研究

本文提出了一种基于纵向涡流发生器强化换热结构的暖气片散热器,并对其散热性能进行了数值模拟研究,着重分析了暖气片附近区域的温度场与速度场,基于场协同原理对其强化传热机理进行了解释,同时讨论了三角翼纵向涡流发生器的攻角与布置间距等关键参数对散热性能的影响。结果表明,涡流发生器能显著增强散热,当三角翼纵向涡流发生器攻角为45°、布置间距为30 mm时的散热可提高8%。