Graphs and Matrices (Record no. 13722)

MARC details
000 -LEADER
fixed length control field 02224nmm a22002175i 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230705150650.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 140919s2014 xxk| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781447165699
-- 978-1-4471-6569-9
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.5
Edition number 23
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Bapat, Ravindra B.
9 (RLIN) 21145
245 ## - TITLE STATEMENT
Title Graphs and Matrices
Medium [electronic resource] /
Statement of responsibility, etc. by Ravindra B. Bapat.
250 ## - EDITION STATEMENT
Edition statement 2nd ed. 2014.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. London :
Name of publisher, distributor, etc. Springer London :
-- Imprint: Springer,
Date of publication, distribution, etc. 2014.
300 ## - PHYSICAL DESCRIPTION
Extent XI, 193 p. 32 illus.
Other physical details online resource.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Preliminaries -- Incidence Matrix -- Adjacency Matrix -- Laplacian Matrix -- Cycles and Cuts -- Regular Graphs -- Line Graph of a Tree -- Algebraic Connectivity -- Distance Matrix of a Tree -- Resistance Distance -- Laplacian Eigenvalues of Threshold Graphs -- Positive Definite Completion Problem -- Matrix Games Based on Graphs.
520 ## - SUMMARY, ETC.
Summary, etc. This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based on a graph. Such an extensive coverage of the subject area provides a welcome prompt for further exploration. The inclusion of exercises enables practical learning throughout the book. In the new edition, a new chapter is added on the line graph of a tree, while some results in Chapter 6 on Perron-Frobenius theory are reorganized. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory, it will also benefit readers in the sciences and engineering.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Algebras, Linear.
9 (RLIN) 21146
Topical term or geographic name entry element Linear Algebra.
9 (RLIN) 21147
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-1-4471-6569-9">https://doi.org/10.1007/978-1-4471-6569-9</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type e-Book
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     S. R. Ranganathan Learning Hub S. R. Ranganathan Learning Hub Online 2023-07-05 Infokart India Pvt. Ltd., New Delhi   512.5 EB1371 2023-07-05 2023-07-05 e-Book