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003 - CONTROL NUMBER IDENTIFIER |
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005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20140310151447.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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111215s2012 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781461419396 |
|
978-1-4614-1939-6 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA564-609 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
516.35 |
Edition number |
23 |
264 #1 - |
-- |
New York, NY : |
-- |
Springer New York, |
-- |
2012. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Brouwer, Andries E. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Spectra of Graphs |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Andries E. Brouwer, Willem H. Haemers. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XIV, 250 p. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Universitext, |
International Standard Serial Number |
0172-5939 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Graph spectrum -- Linear algebra -- Eigenvalues and eigenvectors of graphs -- The second largest eigenvalue -- Trees -- Groups and graphs -- Topology -- Euclidean representations -- Strongly regular graphs -- Regular two-graphs -- Association schemes -- Distance regular graphs. - p-ranks -- Spectral characterizations -- Graphs with few eigenvalues -- References -- Author Index -- Subject Index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This book provides an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. It covers standard topics such as bounds on the sizes of cliques and cocliques, chromatic number and Shannon capacity, the connection between randomness and the 'eigenvalue gap', and applications. It continues with a presentation of some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text. Spectra of Graphs is written for researchers, teachers and students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Geometry, algebraic. |
|
Topical term or geographic name as entry element |
Group theory. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Algebraic Geometry. |
|
Topical term or geographic name as entry element |
Group Theory and Generalizations. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Haemers, Willem H. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9781461419389 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4614-1939-6 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |