Geodesic
A Note on the Independence Number of an Identically Self-dual Perfect Matroid Design
Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 29 .

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Let $E$ be a finite set and $M(E,r)$ an identically self-dual perfect matroid design on $E$, with hyperplane cardinality $c(M)$, and $r$ as a rank function. If $M$ is not the $r(E)$-uniform matroid, we show that its independence number equals $c(M)-1$.
Classification : 05B35 
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     author = {Danut Marcu},
     title = {A {Note} on the {Independence} {Number} of an {Identically} {Self-dual} {Perfect} {Matroid} {Design}},
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     year = {1986},
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Danut Marcu. A Note on the Independence Number of an Identically Self-dual Perfect Matroid Design. Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 29 . http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a4/