Formal power series and algebraic combinatorics, 1994 : DIMACS workshop, May 23-27, 1994 Séries formelles et combinatoire algébrique, 1994

書誌事項

Formal power series and algebraic combinatorics, 1994 : DIMACS workshop, May 23-27, 1994 = Séries formelles et combinatoire algébrique, 1994

Louis J. Billera ... [et al.], editors

(DIMACS series in discrete mathematics and theoretical computer science, v. 24)

American Mathematical Society, c1996

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注記

"Invited lectures presented at the Sixth International Conference on Formal Power Series and Algebraic Combinatorics"--Pref

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

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

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