140 citations
- The Dodd-Walls Centre for Photonic and Quantum TechnologiesNZ11 papers
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math.CO2007★ 2 cited
The -modular descent algebras
M. D. Atkinson, G. Pfeiffer, S. J. van Willigenburg
The concept of descent algebras over a field of characteristic zero is extended to define descent algebras over a field of prime characteristic. Some basic algebraic structure of t…
math.CO2003★ 75 cited
The enumeration of simple permutations
M. H. Albert, M. D. Atkinson, M. Klazar
A simple permutation is one which maps no proper non-singleton interval onto an interval. We consider the enumeration of simple permutations from several aspects. Our results inclu…
math.CO2002
Restricted permutations and queue jumping
M. H. Albert, R. E. L. Aldred, M. D. Atkinson +3
A connection between permutations that avoid 4231 and a certain queueing discipline is established. It is proved that a more restrictive queueing discipline corresponds to avoiding…