Zeta functions of graphs : a stroll through the garden /

Zeta functions of graphs : a stroll through the garden /

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Bibliographic Details
Author / Creator:	Terras, Audrey.
Imprint:	New York : Cambridge University Press, 2010.
Description:	xii, 239 p. ; 24 cm.
Language:	English
Series:	Cambridge studies in advanced mathematics ; 128 Cambridge studies in advanced mathematics ; 128.
Subject:	Graph theory. Functions, Zeta. Functions, Zeta. Graph theory.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/8266513

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ISBN:	9780521113670 (hardback) 0521113679 (hardback)
Summary:	"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"--

Eckhart

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Holdings details from Eckhart
Call Number:	QA166 .T47 2010
c.1	Available Loan period: standard loan Request for Pickup Need help? - Ask a Librarian