This introduction to graph theory offers a reassessment of what are the theory's main fields, methods and results. Viewed as a branch of pure mathematics, the theory of finite graphs is developed as a coherent subject in its own right, with its own unifying questions and methods. The book thus seeks to complement, not replace, the existing more algorithmic treatments of the subject. Graph theory can be used at various different levels. The book contains all the standard basic material to be taught in a first undergraduate course, complete with detailed proofs and numerous illustrations. To help with the planning of such a course, it includes precise information on the logical dependence of results. For a graduate course, the book offers proofs of several more advanced results. These proofs are described with as much care and detail as their simpler counterparts, often with an informal discussion of their underlying ideas complementing their rigorous step-by-step account.
To the professional mathematician, finally, the book affords an overview of graph theory as it stands at the present: with its typical questions and methods, its classic results, and some of those developments that have occured in this subject.
- ISBN10 6610009260
- ISBN13 9786610009268
- Publish Date 1 January 2000 (first published 30 June 1997)
- Publish Status Active
- Out of Print 9 February 2012
- Publish Country US
- Imprint Springer
- Format eBook
- Pages 330
- Language English