| Algebraic Graph Theory 2001 Edition Contributor(s): Godsil, Chris (Author), Royle, Gordon F. (Author) |
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ISBN: 0387952411 ISBN-13: 9780387952413 Publisher: Springer OUR PRICE: $103.55 Product Type: Hardcover - Other Formats Published: April 2001 Annotation: Algebraic graph theory is a fascinating subject concerned with the interplay between algebra and graph theory. Algebraic tools can be used to give surprising and elegant proofs of graph theoretic facts, and there are many interesting algebraic objects associated with graphs. The authors take an inclusive view of the subject, and present a wide range of topics. These range from standard classics, such as the characterization of line graphs by eigenvalues, to more unusual areas such as geometric embeddings of graphs and the study of graph homomorphisms. The authors' goal has been to present each topic in a self-contained fashion, presenting the main tools and ideas, with an emphasis on their use in understanding concrete examples. A substantial proportion of the book covers topics that have not appeared in book form before, and as such it provides an accessible introduction to the research literature and to important open questions in modern algebraic graph theory. This book is primarily aimed at graduate students and researchers in graph theory, combinatorics, or discrete mathematics in general. However, all the necessary graph theory is developed from scratch, so the only pre-requisite for reading it is a first course in linear algebra and a small amount of elementary group theory. It should be accessible to motivated upper-level undergraduates. Chris Godsil is a full professor in the Department of Combinatorics and Optimization at the University of Waterloo. His main research interests lie in the interactions between algebra and combinatorics, in particular the application of algebraic techniques to graphs, designs and codes. He has published more than 70 papers in these areas, is afounding editor of "The Journal of Algebraic Combinatorics" and is the author of the book "Algebraic Combinatorics." Gordon Royle teaches in the Department of Computer Science & Software Engineering at the University of Western Australia. His main research interests lie in the application of computers to combinatorial problems, in particular the cataloguing, enumeration and investigation of graphs, designs and finite geometries. He has published more than 30 papers in graph theory, design theory and finite geometry. |
| Additional Information |
| BISAC Categories: - Mathematics | Graphic Methods - Mathematics | Algebra - General |
| Dewey: 511.5 |
| LCCN: 00053776 |
| Series: Graduate Texts in Mathematics |
| Physical Information: 1" H x 6.14" W x 9.21" (1.82 lbs) 443 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive properties of graphs. The authors' goal has been to present and illustrate the main tools and ideas of algebraic graph theory, with an emphasis on current rather than classical topics. While placing a strong emphasis on concrete examples, the authors tried to keep the treatment self-contained. |