| 具有正则图的有限格的一些注记 |
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| 引用本文： | 孙中举,方捷. 具有正则图的有限格的一些注记[J]. 汕头大学学报(自然科学版), 2010, 25(2): 11-15 |
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| 作者姓名： | 孙中举 方捷 |
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| 作者单位： | 1. 汕头大学数学系,广东,汕头,515063
2. 汕头大学数学系,广东,汕头,515063;广东技术师范学院计算机学院,广东,广州,510665 |
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| 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.
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| 关 键 词： | 正则图 格 布尔格 |
Some Remarks on Regular Graph Lattices |
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| SUN Zhong-ju,FANG Jie. Some Remarks on Regular Graph Lattices[J]. Journal of Shantou University(Natural Science Edition), 2010, 25(2): 11-15 |
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| Authors: | SUN Zhong-ju FANG Jie |
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| Affiliation: | SUN Zhong-ju1,FANG Jie2(1.Department of Mathematics,Shantou University,Shantou 515063,Guangdong,China,2.School of Computer Science,Guangdong Polytechnic Normal University,Guangzhou 510665,China) |
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| Abstract: | 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. |
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| Keywords: | regular graph lattice Boolean lattice |
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