| 摘要: |
| 本文研究了非匹配型分配格.通过引入基于平面基本二部图某个完美匹配的交不可约内环并给出其等价刻画,得到了一类新的非匹配型分配格,推广了一个有割元非匹配型分配格的结论. |
| 关键词: 平面(弱)基本二部图 Z变换图 交不可约内环 非匹配型分配格 平面性 |
| DOI: |
| 分类号:O157.5;O153.1 |
| 基金项目:Supported by National Natural Science Foundation of China (11761064). |
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| A CLASS OF NON-MATCHABLE DISTRIBUTIVE LATTICES |
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WANG Xu, ZHAO Xu-xu, YAO Hai-yuan
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College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
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| Abstract: |
| In this paper, we consider non-matchable distributive lattices. By introducing the meet-irreducible cell with respect to a perfect matching of a plane elementary bipartite graph and giving its characterizations, we obtain a new class of non-matchable distributive lattices, and extend a result on non-matchable distributive lattices with a cut element. |
| Key words: plane (weakly) elementary bipartite graph Z-transformation directed graph meet-irreducible cell non-matchable distributive lattice planarity |