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A tripling construction for mutually orthogonal symmetric hamiltonian double Latin squares
Authors:Justin Z. Schroeder
Abstract:We provide two new constructions for pairs of mutually orthogonal symmetric hamiltonian double Latin squares. The first is a tripling construction, and the second is derived from known constructions of hamilton cycle decompositions of urn:x-wiley:10638539:media:jcd21638:jcd21638-math-0001 when urn:x-wiley:10638539:media:jcd21638:jcd21638-math-0002 is prime.
Keywords:complete graph  graph decomposition  hamilton cycle  Latin square
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