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Formal Power Series and Algebraic Combinatorics (Séries Formelles et Combinatoire Algébrique), 1994
Edited by: Louis J. Billera, Cornell University, Ithaca, NY, Curtis Greene, Haverford College, PA, Rodica Simion, George Washington University, DC, and Richard P. Stanley, Massachusetts Institute of Technology, Cambridge, MA
A co-publication of the AMS and DIMACS.
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DIMACS: Series in Discrete Mathematics and Theoretical Computer Science
1996; 198 pp; hardcover
Volume: 24
ISBN-10: 0-8218-0324-7
ISBN-13: 978-0-8218-0324-0
List Price: US$54
Member Price: US$43.20
Order Code: DIMACS/24
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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.

Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1-7 were co-published with the Association for Computer Machinery (ACM).

Readership

Research mathematicians.

Table of Contents

  • L. J. Billera and A. Sarangarajan -- The combinatorics of permutation polytopes
  • A. Björner -- Nonpure shellability, \(f\)-vectors, subspace arrangements and complexity
  • R. Charney -- Metric geometry: Connections with combinatorics
  • M. Delest -- Algebraic languages: a bridge between combinatorics and computer science
  • P. Hanlon -- A survey of combinatorial problems in Lie algebra homology
  • D. M. Jackson -- Algebraic and analytic approaches for the genus series for \(2\)-cell embeddings on orientable and nonorientable surfaces
  • S. Kerov -- The boundary of Young lattice and random Young tableaux
  • C. Reutenauer -- A survey of noncommutative rational series
  • S. Sundaram -- Plethysm, partitions with an even number of blocks and Euler numbers
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