A Kruskal–Katona Type Theorem for the Linear Lattice
نویسندگان
چکیده
منابع مشابه
A Kruskal-Katona Type Theorem for the Linear Lattice
We present an analog of the well-known Kruskal-Katona theorem for the poset of subspaces of PG (n, 2) ordered by inclusion. For given k, ` (k < `) and m the problem is to find a family of size m in the set of `-subspaces of PG (n, 2), containing the minimal number of k-subspaces. We introduce two lexicographic type orders O1 and O2 on the set of `-subspaces, and prove that the first m of them, ...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1999
ISSN: 0195-6698
DOI: 10.1006/eujc.1998.0274