Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777469 | Journal of Combinatorial Theory, Series A | 2018 | 38 Pages |
Abstract
We investigate {0,1,â¦,t}-cliques of generators on dual polar graphs of finite classical polar spaces of rank d. These cliques are also known as ErdÅs-Ko-Rado sets in polar spaces of generators with pairwise intersections in at most codimension t. Our main result is that we classify all such cliques of maximum size for tâ¤8d/5â2 if qâ¥3, and tâ¤8d/9â2 if q=2. We have the following byproducts.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Ferdinand Ihringer, Klaus Metsch,