TITLE: Prerequisites for learning (basic) Graph Theory
QUESTION [15 upvotes]: I would like to learn Graph Theory from the beginning. It seems to me that one does not need to be familiar with many abstract type subjects to be able to understand the more basic concepts of graphs.

Which subjects should one know prior to learn Graph Theory at the introductory level?
And which book or lecture notes would you advise to learn it?

REPLY [3 votes]: I thought about this question for a graph theory course I'm teaching. Prerequisites would be mathematical proof technique (induction, proof by contradiction), and linear algebra (determinants, eigenvalues). 
The book I eventually chose was Bondy and Murty's Graph Theory. It's a bit dry, but it's mathematically very nice, it has a lot of material if you want to delve deeper (you won't throw it away after the "course" is over), and it's quite readable. It's also cheap, and in fact available for free online from Springer's website.