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      Hyperplanes and hamiltonian circuits in Perfect Matroid Designs with fixed basis

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          Abstract

          We study the number of hamiltonian circuits, containing a fixed basis, and the number of hyperplanes, which do not contain a fixed basis in perfect matroid designs. Projective and affine finite geometries are considered as examples of such matroids. We give algorithms to find the hyperplanes and the hamiltonian circuits in such cases.

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            Journal
            14 May 2013
            Article
            1305.3119
            e4d48776-1927-43a5-a056-ba6aefeb6f16

            http://creativecommons.org/licenses/by-nc-sa/3.0/

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            math.CO

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