MARC details
000 -LEADER |
fixed length control field |
03037cam a22003494a 4500 |
001 - ACCESSION NUMBER |
control field |
7786 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
CUTN |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20130322171103.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
111215s2012 flua b 001 0 eng |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
2011046277 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781439863374 (hardback) |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
DLC |
Transcribing agency |
DLC |
042 ## - AUTHENTICATION CODE |
Authentication code |
pcc |
050 00 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA166.243 |
Item number |
.M65 2012 |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.9/434 |
Edition number |
23 |
084 ## - OTHER CLASSIFICATION NUMBER |
Classification number |
COM046000 |
-- |
COM051300 |
-- |
MAT036000 |
Source of number |
bisacsh |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Molitierno, Jason J. |
Locally assigned cutter number (author) |
MOL |
245 10 - TITLE STATEMENT |
Title |
Applications of combinatorial matrix theory to Laplacian matrices of graphs / |
Statement of responsibility, etc |
Jason J. Molitierno. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Boca Raton, FL : |
Name of publisher, distributor, etc |
CRC Press, |
Date of publication, distribution, etc |
c2012. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
405 p. : |
Other physical details |
ill. ; |
Dimensions |
27 cm. |
490 1# - SERIES STATEMENT |
Series statement |
Discrete mathematics and its applications |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
"Preface On the surface, matrix theory and graph theory are seemingly very different branches of mathematics. However, these two branches of mathematics interact since it is often convenient to represent a graph as a matrix. Adjacency, Laplacian, and incidence matrices are commonly used to represent graphs. In 1973, Fiedler published his first paper on Laplacian matrices of graphs and showed how many properties of the Laplacian matrix, especially the eigenvalues, can give us useful information about the structure of the graph. Since then, many papers have been published on Laplacian matrices. This book is a compilation of many of the exciting results concerning Laplacian matrices that have been developed since the mid 1970's. Papers written by well-known mathematicians such as (alphabetically) Fallat, Fiedler, Grone, Kirkland, Merris, Mohar, Neumann, Shader, Sunder, and several others are consolidated here. Each theorem is referenced to its appropriate paper so that the reader can easily do more in-depth research on any topic of interest. However, the style of presentation in this book is not meant to be that of a journal but rather a reference textbook. Therefore, more examples and more detailed calculations are presented in this book than would be in a journal article. Additionally, most sections are followed by exercises to aid the reader in gaining a deeper understanding of the material. Some exercises are routine calculations that involve applying the theorems presented in the section. Other exercises require a more in-depth analysis of the theorems and require the reader to prove theorems that go beyond what was presented in the section. Many of these exercises are taken from relevant papers and they are referenced accordingly"-- |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Graph connectivity. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Laplacian matrices. |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
COMPUTERS / Operating Systems / General. |
Source of heading or term |
bisacsh |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
COMPUTERS / Programming / Algorithms. |
Source of heading or term |
bisacsh |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
MATHEMATICS / Combinatorics. |
Source of heading or term |
bisacsh |
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
a |
7 |
b |
cbc |
c |
orignew |
d |
1 |
e |
ecip |
f |
20 |
g |
y-gencatlg |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
General Books |