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B Alspach and T D Parsons On hamiltonian cycles in metacirculant
Babai and J NeSetril High chromatic rigid graphs II
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1-factorizations abelian group ADGHLOSVX ADGJMNRUW adjacent array automorphism BCGHLPRUY BCGJMOQTX BDFHMNSTY BDFJKPRVX bipartite cell classes column combinatorial complete complete varieties construction contains Corollary cosets cyclic defined denote diagonal distinct edges elements embedded entries epimorphism exactly example exists finite geometry with diagram Graph Theory groupoid hamiltonian cycle Hence homomorphism idempotent identity implies incidence integer intersection irreducible isomorphic LAP(u latin square lattice Lemma Let G mapping morphism N.S. Mendelsohn North-Holland Publishing Company obtained occurs orthogonal outline match-table pair parameters partial geometry permutation PG(A points prime power projective plane prolongation Proof Proposition quadruple systems quasigroups rectagraph result satisfies sequence square of order square of side Steiner triple systems strongly regular graph subgraph subgroup sublattice subset subsystem supermodular symbols symmetric designs symmetric latin square Theorem transitive triples translation block transversal TTS of order universal algebra variety vertex vertices