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The study of combinatorial block designs is a vibrant area of
combinatorial mathematics with connections to finite geometries,
graph theory, coding theory and statistics. The practice of
ordering combinatorial objects can trace its roots to bell ringing
which originated in 17th century England, but only emerged as a
significant modern research area with the work of F. Gray and N. de
Bruijn. These two fascinating areas of mathematics are brought
together for the first time in this book. It presents new
terminology and concepts which unify existing and recent results
from a wide variety of sources. In order to provide a complete
introduction and survey, the book begins with background material
on combinatorial block designs and combinatorial orderings,
including Gray codes -- the most common and well-studied
combinatorial ordering concept -- and universal cycles. The central
chapter discusses how ordering concepts can be applied to block
designs, with definitions from existing (configuration orderings)
and new (Gray codes and universal cycles for designs) research. Two
chapters are devoted to a survey of results in the field, including
illustrative proofs and examples. The book concludes with a
discussion of connections to a broad range of applications in
computer science, engineering and statistics. This book will appeal
to both graduate students and researchers. Each chapter contains
worked examples and proofs, complete reference lists, exercises and
a list of conjectures and open problems. Practitioners will also
find the book appealing for its accessible, self-contained
introduction to the mathematics behind the applications.
The study of combinatorial block designs is a vibrant area of
combinatorial mathematics with connections to finite geometries,
graph theory, coding theory and statistics. The practice of
ordering combinatorial objects can trace its roots to bell ringing
which originated in 17th century England, but only emerged as a
significant modern research area with the work of F. Gray and N. de
Bruijn. These two fascinating areas of mathematics are brought
together for the first time in this book. It presents new
terminology and concepts which unify existing and recent results
from a wide variety of sources. In order to provide a complete
introduction and survey, the book begins with background material
on combinatorial block designs and combinatorial orderings,
including Gray codes -- the most common and well-studied
combinatorial ordering concept -- and universal cycles. The central
chapter discusses how ordering concepts can be applied to block
designs, with definitions from existing (configuration orderings)
and new (Gray codes and universal cycles for designs) research. Two
chapters are devoted to a survey of results in the field, including
illustrative proofs and examples. The book concludes with a
discussion of connections to a broad range of applications in
computer science, engineering and statistics. This book will appeal
to both graduate students and researchers. Each chapter contains
worked examples and proofs, complete reference lists, exercises and
a list of conjectures and open problems. Practitioners will also
find the book appealing for its accessible, self-contained
introduction to the mathematics behind the applications.
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Algorithms and Models for the Web Graph - 18th International Workshop, WAW 2023, Toronto, ON, Canada, May 23–26, 2023, Proceedings (1st ed. 2023)
Megan Dewar, Paweł Prałat, Przemysław Szufel, François Théberge, Małgorzata Wrzosek
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R1,474
Discovery Miles 14 740
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Ships in 12 - 17 working days
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This book constitutes the proceedings of the 18th International
Workshop on Algorithms and Models for the Web Graph, WAW 2023, held
in Toronto, Canada, in May 23–26, 2023.The 12 Papers presented in
this volume were carefully reviewed and selected from 21
submissions. The aim of the workshop was understanding of graphs
that arise from the Web and various user activities on the Web, and
stimulate the development of high-performance algorithms and
applications that exploit these graphs.
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