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Every simple 3-polytype with 34 vertices is Hamiltonian
Affiliation:Department of Mathematics, University of California, Davis, CA 95616, U.S.A.
Abstract:The smallest known example of a simple 3-polytype with no Hamiltonian circuit has 38 vertices. By extending the methods of Okamura we prove that if a simple 3-polytype has 38 most 34 vertices then it is Hamiltonian.
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