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adjacent animal balanced samples Baudet bipartite graph broadcasting Cartesian product clique cocyclic column complete bipartite graph complete graph Computer conditional cut configuration CONGRESSUS NUMERANTIUM conjecture construct contains contradiction Corollary curves cut of G cutsets cyclic covering defined denote digraph disjoint cycles distance dominating function dominating set domination number eccentric element equivalent example exists Figure finite G E(G genetic algorithm given graph G Graph Theory grid Hadamard matrices Hamiltonian cycle Hence inequality inflated graph intersections Issai Schur label Latin squares least Lemma length Let G matchable Math Mathematics matrix maximum minimum multipartite graph node number of vertices odd number pair path PCFG perfect dominating set PPDA primes probabilistic problem Proof Proposition restricted cut result Schur sequence subgraph subset Suppose t-cover tensor product Theorem tiling torus torus knot traversed two-graph unique domination upper bound values variable VECA cost vertex set