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Zeta functions of graphs : = a strol...

Terras, Audrey.

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Zeta functions of graphs : = a stroll through the garden /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Zeta functions of graphs :/ Audrey Terras.
其他題名:	a stroll through the garden /
作者:	Terras, Audrey.
出版者:	Cambridge ;Cambridge University Press, : 2011.,
面頁冊數:	xii, 239 p. :ill. ;24 cm.
標題:	Graph theory. -
電子資源:	http://assets.cambridge.org/97805211/13670/cover/9780521113670.jpg
電子資源:	http://www.loc.gov/catdir/enhancements/fy1108/2010024611-b.html
電子資源:	http://www.loc.gov/catdir/enhancements/fy1108/2010024611-d.html
電子資源:	http://www.loc.gov/catdir/enhancements/fy1108/2010024611-t.html
ISBN:	9780521113670 :

Zeta functions of graphs : = a stroll through the garden /
Terras, Audrey.

Zeta functions of graphs :a stroll through the garden /Audrey Terras. - Cambridge ;Cambridge University Press,2011. - xii, 239 p. :ill. ;24 cm. - Cambridge studies in advanced mathematics ;128.

Includes bibliographical references (p. 230-235) and index.

"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"--

ISBN: 9780521113670 :US65.00

LCCN: 2010024611Subjects--Topical Terms:

523815
Graph theory.

LC Class. No.: QA166 / .T47 2011

Dewey Class. No.: 511/.5

Zeta functions of graphs : = a stroll through the garden /
LDR:02160cam 2200277 a 4500 001 975128
003 DLC
005 20110420135630.0
008 111017s2011 enka b 001 0 eng
010 $a 2010024611
020 $a 9780521113670 : $c US65.00
020 $a 0521113679
035 $a AS-BW-100-N-01
040 $a DLC $c DLC $d DLC
042 $a pcc
050 0 0 $a QA166 $b .T47 2011
082 0 0 $a 511/.5 $2 22
100 1 $a Terras, Audrey. $3 628086
245 1 0 $a Zeta functions of graphs : $b a stroll through the garden / $c Audrey Terras.
260 # $a Cambridge ; $a New York : $b Cambridge University Press, $c 2011.
300 $a xii, 239 p. : $b ill. ; $c 24 cm.
490 0 $a Cambridge studies in advanced mathematics ; $v 128
504 $a Includes bibliographical references (p. 230-235) and index.
520 # $a "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"-- $c Provided by publisher.
650 # 0 $a Graph theory. $3 523815
650 # 0 $a Functions, Zeta. $3 558393
856 4 2 $3 Cover image $u http://assets.cambridge.org/97805211/13670/cover/9780521113670.jpg
856 4 2 $3 Contributor biographical information $u http://www.loc.gov/catdir/enhancements/fy1108/2010024611-b.html
856 4 2 $3 Publisher description $u http://www.loc.gov/catdir/enhancements/fy1108/2010024611-d.html
856 4 1 $3 Table of contents only $u http://www.loc.gov/catdir/enhancements/fy1108/2010024611-t.html