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04.06.2018 Open Access

Orthogonal one-factorizations of complete multipartite graphs

Zeitschrift:
Designs, Codes and Cryptography
Autoren:
Mariusz Meszka, Magdalena Tyniec

Abstract

The paper provides a complete solution to the existence problem of two orthogonal one-factorizations of a complete balanced multipartite graph \(K_{p\times q}\). In particular, new classes of Howell designs are constructed.
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