Free Graph Theory Resources
Note: I will update this list as addition resources come to my attention.
Lecture Notes:
[Lecture Notes on Geometric Graph Theory by Janos Pach]
ps[Princeton Lecture Notes]
http://web.math.princeton.edu/math_alive/5/Notes1.pdf
http://web.math.princeton.edu/math_alive/5/Notes2.pdf[PSU Lecture Notes by Christopher Griffin] http://www.personal.psu.edu/cxg286/Math485.pdf
[TU Denmark Lecture Notes by Hjalte Wedel Vildhøj and David Kofoed Wind]
http://www.student.dtu.dk/~s082951/01227/01227-GraphTheory.pdf[University of Turku Lecture Notes by Tero Harju]
http://users.utu.fi/harju/graphtheory/graphtheory.pdf[Probabilistic Method by Matousek and Vondrak]
http://kam.mff.cuni.cz/~matousek/lectnotes.html[Lectures Notes for Spectral Graph Theory by Steve Butler] http://www.math.ucsd.edu/~sbutler/spectral/
[Lecture Notes on Graph Coloring by Frédéric Havet] http://www-sop.inria.fr/members/Frederic.Havet/Cours/coloration.pdf
Books:
[Graph Theory with Applications by J.A. Bondy and U.S.R. Murty] http://www.math.jussieu.fr/~jabondy/books/gtwa/gtwa.html
[Graph Theory by Reinhard Diestel]
http://www.esi2.us.es/~mbilbao/pdffiles/DiestelGT.pdf[Combinatorics of Subsets and Graphs by Fan Chung] http://www.math.ucsd.edu/~fan/teach/262/notes/steve/262_book.pdf
https://openknol.wikidot.com
Links to Lecture notes, monographs, survey papers in combinatorics, graph theory and related fields of mathematics and computer science.
Vadim Lozin's Lecture Notes:
http://homepages.warwick.ac.uk/~masgax/notes.pdf