Open Problems in Combinatorics and Graph Theory
Erdos Problems Website
Open problems of Paul Erdős in Graph Theory by Fan Chung Graham
Open Problem Garden

http://www.math.uiuc.edu/~west/openp/index.html

http://www.lirmm.fr/~thomasse/problems.html

http://www.math.fau.edu/locke/Unsolved.htm

http://www.fmf.uni-lj.si/~mohar/Problems.html

http://www.math.uiuc.edu/~west/pcol/pcolink.html

http://dmoz.org/Science/Math/Combinatorics/Graph_Theory/Open_Problems/

http://dmoz.org/Science/Math/Combinatorics/Open_Problems/

http://users.encs.concordia.ca/~chvatal/#Unsolved%20problems
http://www.amazon.com/Erdos-Graphs-Legacy-Unsolved-Problems/dp/1568810792


Journals in Combinatorics and Graph Theory
AKCE International Journal of Graphs and Combinatorics
Annals of Combinatorics

Ars Combinatoria

ArXiv.org Combinatorics Preprints
Australasian Journal of Combinatorics
British Combinatorial Bulletin
Combinatorica
Combinatorics, Probability & Computing

Congressus Numerantium
DIMACS Series in Discrete Mathematics and Theoretical Computer Science (Surveys)
DIMACS Technical Reports
Discrete Applied Mathematics
Discrete Mathematics
Discrete Mathematics and Applications

Discussiones Mathematicae Graph Theory
Electronic Journal of Combinatorics
European Journal of Combinatorics
Fibonacci Quarterly
Graphs and Combinatorics
Journal of Algebraic Combinatorics
Journal of Combinatorial Designs
Journal of Combinatorial Theory - Series A
Journal of Combinatorial Theory - Series B
Journal of Discrete Mathematical Sciences & Cryptography
Journal of Graph Algorithms and Applications
Journal of Graph Theory
Order
Random Structures & Algorithms
SIAM Journal on Discrete Mathematics

Combinatorics and Graph Theory Conferences
http://www.conference-service.com/conferences/graph-theory.html
http://www.math.uiuc.edu/~west/meetlist.html

Videos
N is a Number - Paul Erdős
Fermat's Last Theorem - Andrew Wiles
The Pleasure of Finding Things Out - Richard Feynman
Hunting the Hidden Dimension - NOVA
The Importance of Mathematics - Timothy Gowers

Blogs

Gödel’s Lost Letter and P=NP
http://terrytao.wordpress.com/
Gowers's Weblog
Combinatorics and more | Gil Kalai's blog


Games
Dots and Boxes
Chomp
Nim


Other
A Mathematicians Lament
Cut the Knot
Mudd Math Fun Facts

Mathematics: A Very Short Introduction