Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

What are some of the best books on graph theory, particularly directed towards an upper division undergraduate student who has taken most the standard undergraduate courses? I'm learning graph theory as part of a combinatorics course, and would like to look deeper into it on my own. Thank you.

share|improve this question

9 Answers 9

up vote 13 down vote accepted

Try Bondy and Murty, Graph Theory. The previous version, Graph Theory with Applications, is available online.

share|improve this answer
    
(Your second link is broken.) –  Zach Langley Apr 5 '11 at 23:11
    
@Zach, fixed, thanks. (I worked when I posted it.) –  lhf Apr 5 '11 at 23:15

Diestel's Graph Theory (which has a "free preview" online) is presented as a graduate textbook, but it does not really have any prerequisites.

It goes quite deep in some parts, and includes material (such as the chapter on the graph minor theorem) that you won't find in other textbooks. Some proofs have a sort of "how would someone ever think of that?" feel, but this may have been remedied in the fourth edition (I have the third).

share|improve this answer
    
That's "Diestel". It may be noteworthy that this book has a German version, entitled without much originality "Graphentheorie". It's certainly the best introductory text for someone interested in the most theoretic aspects of graph theory. –  PseudoNeo Apr 5 '11 at 20:56
    
@PseudoNeo Ah, usually I don't make that typo, thanks. –  Harry Stern Apr 5 '11 at 22:32

The best introduction I could recommend for truly beginners is not a whole book on graph theory but A Walk Through Combinatorics, from Miklos Bona it has a large part of the book devoted to graph theory, from the very basics up to some intro to Ramsey theory

share|improve this answer

Doug West, Introduction to Graph Theory. Rigorous but readable, proof based rather than simply descriptive, but the proofs are explanatory rather than simply justification of truth (by any arbitrary means). Even so may not be the best total beginner's book.

share|improve this answer

I enjoyed Alan Tucker's Applied Combinatorics. It's split into two sections:

  • Graph Theory
  • Combinatorics

The first half covers things like coloring theorems, cycles, and all that stuff. The second half is all about generating functions, counting sets, etc.

I found the book to be pretty readable. There are a lot of problems to work, which was nice.

share|improve this answer

You might find Graph Algorithms / Shimon Even interesting. Although it might probably hard to obtain.

Edit: You can get some of the chapters here.

share|improve this answer

I have used Diestel's Graph Theory book mainly, but I found extremely helpful video lectures by professor L. Sunil Chandran from IISc Bangalore (here and here).

share|improve this answer

graph theory by Narsingh Deo, PHI publication.

share|improve this answer
    
This does not provide an answer to the question. To critique or request clarification from an author, leave a comment below their post - you can always comment on your own posts, and once you have sufficient reputation you will be able to comment on any post. –  learner Feb 25 at 5:30

Here is Vadim Lozin's graph theory course. (Available for free from university of Warwick website )

It starts from scratch and most of theorems are prooved. I think it's pretty clear with many content.

It's not a book, but i hope it can help you.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.