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Your search keyword '"Riasat Ayesha"' showing total 2 results
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2 results on '"Riasat Ayesha"'

1. What Could Be a Simple Permutation?

Author

Ashraf, Rehana, Berceanu, Barbu, and Riasat, Ayesha

Subjects
Mathematics::Combinatorics, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, FOS: Mathematics, Primary 05A05, 05A15, 05A16 Secondary 20B19, 20F36, Mathematics - Combinatorics, Combinatorics (math.CO), Group Theory (math.GR), Mathematics - Group Theory, MathematicsofComputing_DISCRETEMATHEMATICS
Abstract

Different ways to describe a permutation, as a sequence of integers, or a product of Coxeter generators, or a tree, give different choices to define a simple permutation. We recollect few of them, define new types of simple permutations, and analyze their interconnections and some asymptotic and geometrical properties of these classes., 19 pages, 11 figures

Published
2010

2. Fibonacci numbers and positive braids

Author

Ashraf, Rehana, Berceanu, Barbu, and Riasat, Ayesha

Subjects
Mathematics::Group Theory, Mathematics::Combinatorics, Mathematics::Category Theory, Mathematics::Quantum Algebra, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics::Geometric Topology, 11B39 (Primary), 20F36, 05A15, 05A05 (Secondary)
Abstract

The paper contains enumerative combinatorics for positive braids, square free braids, and simple braids, emphasizing connections with classical Fibonacci sequence. The simple subgraph of the Cayley graph of the braid group is analyzed in the final part., 8 pages, 3 figures

Published
2010

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