Graphs and Matrices (Record no. 13722)
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000 -LEADER | |
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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 |
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 |
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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 |