Recommendations for a book on Graph Theory?

AI Thread Summary
The discussion centers on finding a readable introductory book on combinatorics and graph theory, with a preference for texts that focus on applications, particularly in physics, rather than the traditional theorem-proof format. Recommendations include "Introductory Graph Theory" by Gary Chartrand, noted for his teaching and writing quality, and "Introduction to Graph Theory" by Robin Wilson, who is also mentioned for his interesting background as the son of a former British Prime Minister. The conversation highlights the desire for accessible resources that bridge theoretical concepts with practical applications outside of computer science.
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I am currently taking a combinatorics class that surveys a little bit of graph theory and it piqued my interest. Does anyone have a recommendation for a good introductory book on the subject? I am really interested in finding a book that is very readable and not the standard definition, lemma, theorem, proof, etc. style. I don't know if that is common for texts in the fields of combinatorics and graph theory or not. I am also very interested in applications, however I am not a computer science student and I don't know if that's all an introductory book could be applied to. If at all possible, I would love to find a book that had applications to physics.

Any help would be greatly appreciated!
 
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