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This volume contains the invited lectures given at the Sixteenth British Combinatorial Conference, held in July 1997 at Queen Mary and Westfield College, University of London. This biennial conference is a well-established international event, with speakers from all over the world. Contained here is a survey of some of the most important work ever in graph theory, with related papers that will be essential background reading to anyone doing research in this field. Also included is an illustration of how recent developments in group theory lead to advances in graph theory, and an exciting new construction of one of the Mathieu groups. Other articles show how to construct a block design, and how to use finite geometries. An account is given of the computational complexity of counting. The book provides a valuable survey of the present state of knowledge in combinatorics. It will be useful to research workers and advanced graduate students, primarily in mathematics but also in computer science, statistics and engineering.

Combinatorial analysis --- Combinatorial mathematics

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This 2007 volume contains survey articles based on the invited lectures given at the Twenty-first British Combinatorial Conference, held in July 2007 at the University of Reading. This biennial conference is a well-established international event and the articles are of the high quality that befits the event. By its nature this volume provides an overview of current research activity in several areas of combinatorics, ranging from graph theory to current applications of combinatorial mathematics, including efficient approximability of NP-hard optimization problems and cryptographic key management. The authors are some of the world's foremost researchers in their fields, and here they summarize existing results, and give a unique preview of work currently being written up. The book provides a valuable survey of the state of knowledge in combinatorics. It will be useful to research workers and advanced graduate students, primarily in mathematics but also in computer science, statistics and engineering.

Combinatorial analysis --- Combinatorial

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Combinatorial analysis --- Combinatorial analysis.

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The solutions manual provides comprehensive yet elementary solutions to each of the 489 problems that appeared in the textbook. The solutions manual contains full solutions to each problem in the parent textbook. The solutions to each problem are written from a first principles approach, which would have further augment the understanding of the important and recurring concepts in each chapter. Moreover, the solutions are written in a relatively self-contained manner, with very little undergraduate mathematics assumed. In that regard, the solutions manual appeals to a wide range of readers, from secondary and junior college students, undergraduates, to teachers and professors.

Combinatorial analysis --- Combinatorial analysis

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Combinatorial analysis --- Combinatorial analysis.