The Mathematics of Chip-Firing

Caroline J. Klivans

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Hardback

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English

CRC Press
20 November 2018

Discrete mathematics; Combinatorics & graph theory; Algorithms & data structures; Computer science

Series: Discrete Mathematics and Its Applications

The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system reveals fascinating properties.

The Fundamental properties of chip-firing are covered from a variety of perspectives. This gives the reader both a broad context of the field and concrete entry points from different backgrounds.

Broken into two sections, the first examines the fundamentals of chip-firing, while the second half presents more general frameworks for chip-firing. Instructors and students will discover that this book provides a comprehensive background to approaching original sources.

Features:

Provides a broad introduction for researchers interested in the subject of chip-firing

The text includes historical and current perspectives

Exercises included at the end of each chapter

About the Author:

Caroline J. Klivans received a BA degree in mathematics from Cornell University and a PhD in applied mathematics from MIT. Currently, she is an Associate Professor in the Division of Applied Mathematics at Brown University. She is also an Associate Director of ICERM (Institute for Computational and Experimental Research in Mathematics). Before coming to Brown she held positions at MSRI, Cornell and the University of Chicago. Her research is in algebraic, geometric and topological combinatorics.

By: Caroline J. Klivans
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm,
Weight: 698g
ISBN: 9781138070820
ISBN 10: 1138070823
Series: Discrete Mathematics and Its Applications
Pages: 296
Publication Date: 20 November 2018
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Caroline J. Klivans received a BA degree in mathematics from Cornell University and a PhD in applied mathematics from MIT. Currently, she is an Associate Professor in the Division of Applied Mathematics at Brown University. She is also an Associate Director of ICERM (Institute for Computational and Experimental Research in Mathematics). Before coming to Brown she held positions at MSRI, Cornell and the University of Chicago. Her research is in algebraic, geometric and topological combinatorics.