Surveys in Combinatorics, 1995


Book Description

The fifteenth British Combinatorial Conference took place in July 1995 at the University of Stirling. This volume consists of the papers presented by the invited lecturers at the meeting, and provides an up-to-date survey of current research activity in several areas of combinatorics and its applications. These include distance-regular graphs, combinatorial designs, coding theory, spectra of graphs, and randomness and computation. The articles give an overview of combinatorics that will be extremely useful to both mathematicians and computer scientists.




Surveys in Combinatorics 2005


Book Description

This volume provides an up-to-date overview of current research across combinatorics,.




Surveys in Combinatorics, 1997


Book Description

The invited lectures given at the 16th. British Combinatorial Conference, July 1997 at Queen Mary and Westfield College.




Surveys in Combinatorics 2017


Book Description

This book includes nine articles representing a timely snapshot of the state of the art in the different areas of combinatorics.




Surveys in Combinatorics 2007


Book Description

Survey articles based on the invited lectures given at the Twenty-first British Combinatorial Conference, first published in 2007.




Surveys in Combinatorics 2021


Book Description

These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.




Rational Points on Curves Over Finite Fields


Book Description

Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on algebraic curves over finite fields have been an important research topic for algebraic geometers and coding theorists. The focus in this application of algebraic geometry to coding theory is on algebraic curves over finite fields with many rational points (relative to the genus). Recently, the authors discovered another important application of such curves, namely to the construction of low-discrepancy sequences. These sequences are needed for numerical methods in areas as diverse as computational physics and mathematical finance. This has given additional impetus to the theory of, and the search for, algebraic curves over finite fields with many rational points. This book aims to sum up the theoretical work on algebraic curves over finite fields with many rational points and to discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences.




Differential Tensor Algebras and Their Module Categories


Book Description

A detailed account of main results in the theory of differential tensor algebras.




A Quantum Groups Primer


Book Description

Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.




Counting, Sampling and Integrating: Algorithms and Complexity


Book Description

The subject of these notes is counting and related topics, viewed from a computational perspective. A major theme of the book is the idea of accumulating information about a set of combinatorial structures by performing a random walk on those structures. These notes will be of value not only to teachers of postgraduate courses on these topics, but also to established researchers. For the first time this body of knowledge has been brought together in a single volume.