Existence of S(2,k,v) Steiner systems implies existence of (k,(v-1)/(k-1);6) bipartite biregular Moore cages; solves all (3,m;6) cases for m≥4; generalized polygons yield improved upper bounds on orders for girths 8,12,16.
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Bipartite Biregular Cages and Block Designs
Existence of S(2,k,v) Steiner systems implies existence of (k,(v-1)/(k-1);6) bipartite biregular Moore cages; solves all (3,m;6) cases for m≥4; generalized polygons yield improved upper bounds on orders for girths 8,12,16.