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19 March 2024
 
  » arxiv » math.CO/0112069

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A Meshalkin theorem for projective geometries
Matthias Beck ; Thomas Zaslavsky ;
Date 7 Dec 2001
Journal Journal of Combinatorial Theory Series A 102 (2003), 433-441
Subject Combinatorics MSC-class: 05D05, 51E20; 06A07 | math.CO
AbstractLet M be a family of sequences (a_1,...,a_p) where each a_k is a flat in a projective geometry of rank n (dimension n-1) and order q, and the sum of ranks, r(a_1) + ... + r(a_p), equals the rank of the join a_1 v ... v a_p. We prove upper bounds on |M| and corresponding LYM inequalities assuming that (i) all joins are the whole geometry and for each k

Source arXiv, math.CO/0112069
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