Graph Theory

ISBN-10: 1846289696
ISBN-13: 9781846289699
Edition: 2008
List price: $69.95 Buy it from $40.03
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Description: Graph theory is a flourishing discipline containing a body of beautiful and powerful theorems of wide applicability. Its explosive growth in recent years is mainly due to its role as an essential structure underpinning modern applied mathematics ???  More...

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Book details

List price: $69.95
Copyright year: 2008
Publisher: Springer
Publication date: 9/27/2011
Binding: Hardcover
Pages: 655
Size: 6.25" wide x 9.25" long x 1.50" tall
Weight: 2.288

Graph theory is a flourishing discipline containing a body of beautiful and powerful theorems of wide applicability. Its explosive growth in recent years is mainly due to its role as an essential structure underpinning modern applied mathematics ??? computer science, combinatorial optimization, and operations research in particular ??? but also to its increasing application in the more applied sciences. The versatility of graphs makes them indispensable tools in the design and analysis of communication networks, for instance. The primary aim of this book is to present a coherent introduction to the subject, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated, and a wealth of exercises - of varying levels of difficulty - are provided to help the reader master the techniques and reinforce their grasp of the material. A second objective is to serve as an introduction to research in graph theory. To this end, sections on more advanced topics are included, and a number of interesting and challenging open problems are highlighted and discussed in some detail. Despite this more advanced material, the book has been organized in such a way that an introductory course on graph theory can be based on the first few sections of selected chapters.

The grandson of the former British Prime Minister Sir Winston Churchill, Winston S. Churchill is an author whose books include the best-selling Six Days of War. He was a journalist; former war correspondent; and a member of the British Parliament from 1970-1997.

Graphs
Subgraphs
Connected Graphs
Trees
Nonseparable Graphs
Tree-Search Algorithms
Flows in Networks
Complexity of Algorithms
Connectivity
Planar Graphs
The Four-Colour Problem
Stable Sets and Cliques
The Probabilistic Method
Vertex Colourings
Colourings of Maps
Matchings
Edge Colourings
Hamilton Cycles
Coverings and Packings in Directed Graphs
Electrical Networks
Integer Flows and Coverings
Unsolved Problems
References
General Mathematical Notation
Graph Parameters
Operations and Relations
Families of Graphs
Structures
Other Notation
Index

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