具有正则图的有限格的一些注记  

Some Remarks on Regular Graph Lattices

作　　者：孙中举[1] 方捷[1,2] 

机构地区：[1]汕头大学数学系,广东汕头515063 [2]广东技术师范学院计算机学院,广东广州510665

出　　处：《汕头大学学报（自然科学版）》2010年第2期11-15,共5页Journal of Shantou University：Natural Science Edition

摘　　要：研究了一类具有正则图的有限格,称之为正则图格.证明了一个有限格是分配的正则图格当且仅当它是布尔格,同时找出了所有1阶和2阶的正则图格.特别地,证明了8-元素布尔格是最小的3阶正则图格.A regular graph lattice is a lattice whose Hass diagram is a regular graph.It is shown that a finite distributive lattice is a regular graph lattice if and only if it is a Boolean lattice.All the 1-degree graph lattices and 2-degree graph lattices are found.It is shown that the 8-element Boolean lattice is the smallest 3-degree regular graph lattice.

关 键 词：正则图 格 布尔格 

分 类 号：O153.1[理学—数学] O153.2[理学—基础数学]