Zeta Functions of Graphs : (Record no. 37244)

MARC details
000 -LEADER
fixed length control field 02223nam a22003377a 4500
001 - CONTROL NUMBER
control field sulb-eb0015400
003 - CONTROL NUMBER IDENTIFIER
control field BD-SySUS
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160405134433.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100506s2010||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511760426 (ebook)
Canceled/invalid ISBN 9780521113670 (hardback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA166
Item number .T47 2011
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511/.5
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Terras, Audrey,
Relator term author.
245 10 - TITLE STATEMENT
Title Zeta Functions of Graphs :
Remainder of title A Stroll through the Garden /
Statement of responsibility, etc. Audrey Terras.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Cambridge :
Name of producer, publisher, distributor, manufacturer Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2010.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (252 pages) :
Other physical details digital, PDF file(s).
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 0# - SERIES STATEMENT
Series statement Cambridge Studies in Advanced Mathematics ;
Volume/sequential designation 128
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 04 Apr 2016).
520 ## - SUMMARY, ETC.
Summary, etc. 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. Created for beginning graduate students, the book will also appeal to researchers. Many well-chosen illustrations and exercises, both theoretical and computer-based, are included throughout.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Graph theory
Topical term or geographic name as entry element Functions, Zeta
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
International Standard Book Number 9780521113670
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Cambridge Studies in Advanced Mathematics ;
Volume number/sequential designation 128.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1017/CBO9780511760426">http://dx.doi.org/10.1017/CBO9780511760426</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type

No items available.