A Helly Type Theorem for Abstract Projective Geometries

被引：0
作者：
Jorge L. Arocha
Javier Bracho
机构：
[1] Universidad Nacional Autónoma de México,Instituto de Matemáticas
来源：
Discrete & Computational Geometry | 2011年 / 45卷
关键词：
Helly type theorems; Projective geometry; Linear partition; Modular lattice;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that the lattice of linear partitions in a projective geometry of rank n has Helly number ⌊3n/2⌋.
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页码：223 / 229
页数：6
相关论文
共 6 条
[1]  
Arocha J.L.(2007)Flat transversals to flats and convex sets of a fixed dimension Adv. Math. 213 902-918
[2]  
Bracho J.(1970)On the foundations of combinatorial theory. II: Combinatorial geometries Stud. Appl. Math. 49 109-133
[3]  
Montejano L.(1966)Connectivity in matroids Can. J. Math. 18 1301-1324
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