There has been considerable interest recently in the subject of
patterns in permutations and words, a new branch of combinatorics
with its roots in the works of Rotem, Rogers, and Knuth in the
1970s. Consideration of the patterns in question has been extremely
interesting from the combinatorial point of view, and it has proved
to be a useful language in a variety of seemingly unrelated
problems, including the theory of Kazhdan-Lusztig polynomials,
singularities of Schubert varieties, interval orders, Chebyshev
polynomials, models in statistical mechanics, and various sorting
algorithms, including sorting stacks and sortable permutations.
The author collects the main results in the field in this
up-to-date, comprehensive reference volume. He highlights
significant achievements in the area, and points to research
directions and open problems. The book will be of interest to
researchers and graduate students in theoretical computer science
and mathematics, in particular those working in algebraic
combinatorics and combinatorics on words. It will also be of
interest to specialists in other branches of mathematics,
theoretical physics, and computational biology.
The author collects the main results in the field in this
up-to-date, comprehensive reference volume. He highlights
significant achievements in the area, and points to research
directions and open problems. The book will be of interest to
researchers and graduate students in theoretical computer science
and mathematics, in particular those working in algebraic
combinatorics and combinatorics on words. It will also be of
interest to specialists in other branches of mathematics,
theoretical physics, and computational biology.
General
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