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$\wedge$-TRANSITIVE DIGRAPHS PRESERVING A CARTESIAN DECOMPOSITION

Part of: Permutation groups Algebraic combinatorics

Published online by Cambridge University Press:  31 March 2015

JOY MORRIS  and
PABLO SPIGA
JOY MORRIS*
Affiliation:
Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, AB, Canada T1K 3M4 email [email protected]
PABLO SPIGA
Affiliation:
Dipartimento di Matematica Pura e Applicata, University of Milano-Bicocca, Via Cozzi 53, 20126 Milano, Italy email [email protected]
*
✉[email protected]
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Abstract

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In this paper, we combine group-theoretic and combinatorial techniques to study $\wedge$-transitive digraphs admitting a cartesian decomposition of their vertex set. In particular, our approach uncovers a new family of digraphs that may be of considerable interest.

Keywords

2-distance transitivecartesian decompositionwreath producttournament

MSC classification

Primary: 20B25: Finite automorphism groups of algebraic, geometric, or combinatorial structures
Secondary: 05E18: Group actions on combinatorial structures
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 99 , Issue 1 , August 2015 , pp. 85 - 107
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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