An edition of Zeta functions of graphs (2010)

Zeta functions of graphs

a stroll through the garden

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Last edited by ImportBot
August 2, 2020 | History
An edition of Zeta functions of graphs (2010)

Zeta functions of graphs

a stroll through the garden

"Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes in several variables. Analogies abound with number-theoretic functions such as Riemann/Dedekind zeta functions. For example, there is a Riemann hypothesis (which may be false) and prime number theorem for graphs. Explicit constructions of graph coverings use Galois theory to generalize Cayley and Schreier graphs. Then non-isomorphic simple graphs with the same zeta are produced, showing you cannot hear the shape of a graph. The spectra of matrices such as the adjacency and edge adjacency matrices of a graph are essential to the plot of this book, which makes connections with quantum chaos and random matrix theory, plus expander/Ramanujan graphs of interest in computer science. Pitched at beginning graduate students, the book will also appeal to researchers. Many well-chosen illustrations and diagrams, and exercises throughout, theoretical and computer-based"--

Publish Date
Language
English

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Previews available in: English

Edition Availability
Cover of: Zeta Functions of Graphs
Zeta Functions of Graphs: A Stroll Through the Garden
2013, Cambridge University Press
in English
Cover of: Zeta Functions of Graphs
Zeta Functions of Graphs
2011, Cambridge University Press
in English
Cover of: Zeta functions of graphs
Zeta functions of graphs: a stroll through the garden
2010, Cambridge University Press
in English
Cover of: Zeta Functions of Graphs
Zeta Functions of Graphs: A Stroll Through the Garden
2010, Cambridge University Press
in English
Cover of: Zeta Functions of Graphs
Zeta Functions of Graphs: A Stroll Through the Garden
2010, Cambridge University Press
in English
Cover of: Zeta Functions of Graphs
Zeta Functions of Graphs: A Stroll Through the Garden
2010, Cambridge University Press
in English

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Book Details


Edition Notes

Published in
New York
Series
Cambridge studies in advanced mathematics -- 128

Classifications

Dewey Decimal Class
511/.5
Library of Congress
QA166 .T47 2010, QA166 .T47 2011

The Physical Object

Pagination
p. cm.

ID Numbers

Open Library
OL24538737M
Internet Archive
zetafunctionsgra00terr
ISBN 13
9780521113670
LCCN
2010024611
OCLC/WorldCat
693123160, 639166318

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History

Download catalog record: RDF / JSON
August 2, 2020 Edited by ImportBot import existing book
July 8, 2019 Edited by MARC Bot import existing book
May 24, 2019 Edited by MARC Bot import existing book
December 15, 2010 Created by ImportBot initial import