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Formal Power Series and Algebraic Combinatorics [Kietas viršelis]

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This book is devoted to the lectures presented at the Sixth International Conference on Formal Power Series and Algebraic Combinatorics held at DIMACS in May 1994. The conference attracted approximately 180 graduate students and junior and senior researchers from all over the world. Generally speaking, algebraic combinatorics involves the use of techniques from algebra, algebraic topology, and algebraic geometry in solving combinatorial problems; or it involves using combinatorial methods to attack problems in these areas. Combinatorial problems amenable to algebraic methods can arise in these or other areas of mathematics, or in areas such as computer science, operations research, physics, chemistry, and, more recently, biology. Because of this interplay among many fields of mathematics and science, algebraic combinatorics is an area in which a wide variety of ideas and methods come together. The papers in this volume reflect the interesting aspects of this rich interaction.
Preface ix The Combinatorics of Permutation Polytopes 1(24) Louis J. Billera A. Sarangarajan Nonpure Shellability, f-Vectors, Subspace Arrangements and Complexity 25(30) Anders Bjorner Metric Geometry: Connections with Combinatorics 55(16) Ruth Charney Algebraic Languages: A Bridge between Combinatorics and Computer Science 71(18) Maylis Delest A Survey of Combinatorial Problems in Lie Algebra Homology 89(26) Phil Hanlon Algebraic and Analytic Approaches for the Genus Series for 2-Cell Embedings on Orientable and Nonorientable Surfaces 115(18) D. M. Jackson The Boundary of Young Lattice and Random Young Tableaux 133(26) S. Kerov A Survey of Noncommutative Rational Series 159(12) Christophe Reutenauer Plethysm, Partitions with an Even Number of Blocks and Euler Numbers 171 Sheila Sundaram