In this fourth edition there are few substantial additions of new material, but many improvements. As with previous new editions, there are countless small and subtle changes to further elucidate a particular argument or concept. When prompted by reader feedback, for which I am always grateful, I still try to recast details that have been found harder than they should be. These can be very basic; a nice example, this time, is the definition of a minor

in Chapter 1.

# Graph Theory

## Graph Theory

Posted on March 24th, 2006

## Graph Theory with Applications

Posted on March 24th, 2006

Free online book “Graph Theory with Applications” by J. A. Bondy and U. S. R. Murty. This book is intended as an introduction to graph theory. Our aim has been to present what we consider to be the basic material, together with a wide variety of applications, both to other branches of mathematics and to real-world problems. Included are simple new proofs of theorems of Brooks, Chvatal, Tutte and Vizing.