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Some Characteristic of Partially Balanced Incomplete Block Designs
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achr(G achromatic number algorithm Anne Penfold antichain Applications bipartite blocks cell colour column Combinatorics complete graph construction contains Corollary critical set cycle decomposition defining set denote Department of Mathematics Discrete Math disjoint dominating set elements equivalent Euler Medal example exists Figure finite graph G Graph Theory Heawood graph Hence homomorphism independent induced induced subgraph Institute of Combinatorics integer isomorphic Jennifer Seberry Kirkman Medals labelled plane trees latin square least Lemma Let G linear secret sharing matrix matroid maximal minimal minimum number of edges obtained one-factorizations outerplanar packing of devcX pair paper parameters partition PBIB designs perfect packing permutation Petersen graph plane trees planted plane trees positive integer problem result Seberry secret sharing secret sharing schemes sequences spanning 2-tree spanning trees square of order Steiner triple systems subset Suppose tournaments University vertex set vertices