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On (−1, 1)-Matrices of Skew Type with the Maximal Determinant and Tournaments Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Divisible Design Digraphs

Authors : Dean Crnković, Hadi Kharaghani

Published in: Algebraic Design Theory and Hadamard Matrices

Publisher: Springer International Publishing

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Abstract

Divisible design graphs (DDGs) have been recently defined by Haemers, Kharaghani, and Meulenberg as a generalization of \((v,k,\lambda )\)-graphs. In this paper we define and study divisible design digraphs (DDDs), a directed graph version of DDGs. On the other hand, DDDs are also natural generalization of doubly regular asymmetric digraphs. We obtain necessary conditions for the existence of a DDD with given parameters and give some constructions.

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previous chapter Suitable Permutations, Binary Covering Arrays, and Paley Matrices
next chapter New Symmetric (61,16,4) Designs Obtained from Codes
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Metadata
Title
Divisible Design Digraphs
Authors
Dean Crnković
Hadi Kharaghani
Copyright Year
2015
Book
Algebraic Design Theory and Hadamard Matrices

Print ISBN: 978-3-319-17728-1

Electronic ISBN: 978-3-319-17729-8

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-17729-8_4

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