Twofold triple systems and graph imbeddings

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Abstract

A natural bijection between (v, 3, 2)-BIBD's and certain topological and combinatorial structures related to graph imbeddings is used to obtain new classes of designs of this type. The topological viewpoint often makes it quite simple to differentiate between nonisomorphic designs.

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Work partially supported by NIH Division of Research Resources, Biotechnology Branch Grant #RR00291.