Algebraic graph theory / (Record no. 40358)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03231cam a2200349 a 4500 |
| 001 - ACCESSION NUMBER | |
| control field | 4914830 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | CUTN |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20231114163511.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 940610s1993 enk b 000 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 94170202 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780521458979 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)30411209 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | TxHR |
| Transcribing agency | TxHR |
| Modifying agency | DLC |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | lccopycat |
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA166 |
| Item number | .B53 1993 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.5 |
| Edition number | 20 |
| Item number | BIG |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Biggs, Norman. |
| 245 10 - TITLE STATEMENT | |
| Title | Algebraic graph theory / |
| Statement of responsibility, etc | Norman Biggs. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Cambridge : |
| Name of publisher, distributor, etc | Cambridge University Press |
| Date of publication, distribution, etc | 1993. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | vi, 205 p. ; |
| Dimensions | 23 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Cambridge mathematical library |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. [191]-201) and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | <br/>1. Introduction to algebraic graph theory; Part I. Linear Algebra in Graphic Thoery: 2. The spectrum of a graph; 3. Regular graphs and line graphs; 4. Cycles and cuts; 5. Spanning trees and associated structures; 6. The tree-number; 7. Determinant expansions; 8. Vertex-partitions and the spectrum; Part II. Colouring Problems: 9. The chromatic polynomial; 10. Subgraph expansions; 11. The multiplicative expansion; 12. The induced subgraph expansion; 13. The Tutte polynomial; 14. Chromatic polynomials and spanning trees; Part III. Symmetry and Regularity: 15. Automorphisms of graphs; 16. Vertex-transitive graphs; 17. Symmetric graphs; 18. Symmetric graphs of degree three; 19. The covering graph construction; 20. Distance-transitive graphs; 21. Feasibility of intersection arrays; 22. Imprimitivity; 23. Minimal regular graphs with given girth; References; Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This is a substantial revision of a much-quoted monograph, first published in 1974. The structure is unchanged, but the text has been clarified and the notation brought into line with current practice. A large number of 'Additional Results' are included at the end of each chapter, thereby covering most of the major advances in the last twenty years. Professor Biggs' basic aim remains to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first part, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discussed in depth. There follows an extensive account of the theory of chromatic polynomials, a subject which has strong links with the 'interaction models' studied in theoretical physics, and the theory of knots. The last part deals with symmetry and regularity properties. Here there are important connections with other branches of algebraic combinatorics and group theory. This new and enlarged edition this will be essential reading for a wide range of mathematicians, computer scientists and theoretical physicists |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Graph theory. |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Publisher description |
| Uniform Resource Identifier | <a href="http://www.loc.gov/catdir/description/cam026/94170202.html">http://www.loc.gov/catdir/description/cam026/94170202.html</a> |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Table of contents |
| Uniform Resource Identifier | <a href="http://www.loc.gov/catdir/toc/cam029/94170202.html">http://www.loc.gov/catdir/toc/cam029/94170202.html</a> |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) | |
| a | 7 |
| b | cbc |
| c | copycat |
| d | 3 |
| e | ncip |
| f | 19 |
| g | y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Project book |
| Date last seen | Total Checkouts | Full call number | Barcode | Checked out | Date checked out | Price effective from | Koha item type | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Withdrawn status | Home library | Current library | Date acquired |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 03/01/2024 | 1 | 511.5 BIG | 48875 | 31/01/2024 | 03/01/2024 | 14/11/2023 | Project book | Dewey Decimal Classification | CUTN Central Library | CUTN Central Library | 14/11/2023 |