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An open problem is a problem that can be formally stated and for which a solution is known to exist but which has not yet been solved. It is common in graduate schools to point out open problems to students. However, Fermat's last theorem and the Four color theorem are two notable open problems that have been closed or solved by faculty members, as they would have more expertise and resources than students.

Important open problems exist in many fields, such as in the field of theoretical computer science, computer scheduling, and real-time computing.

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404 Gordon Royle's Open Questions - Colouring, algebraic graph theory, geometries.

Graph Coloring Problems - Archive for the book Graph Coloring Problems by Tommy R. Jensen and Bjarne Toft (Wiley Interscience 1995), dedicated to Paul Erdös. Gives progress and new problems.

Graph Theory Open Problems - Six problems suitable for undergraduate research projects.

Open Problems in Graph Algorithms - Compiled by Jerry Spinrad.

Past Open Problems Columns - By Douglas B. West, from the SIAM Activity Group Newsletter in Discrete Mathematics.

Perfect Graphs - Conjectures and open problems, maintained at the AIM.

Perfect Problems - Unsolved problems on perfect graphs.

Problem of the Month - Research problems collected by Bojan Mohar.
Meta Description: [ Home page of Bojan Mohar. It includes curriculum information, Problem of the Month section, academic family tree, photos and videos of mathematicians. Lots of graph theory research information. ]

Problems in Graph Theory - Maintained by Peter Cameron.

Problems in Signed, Gain, and Biased Graphs - Compiled by Thomas Zaslavsky.

Problems in Topological Graph Theory - Web text by Dan Archdeacon with a list of open questions in topological graph theory.

Some Open Problems - Open problems and conjectures concerning the determination of properties of families of graphs.
Meta Description: [ Open problems and conjectures concerning the determination of properties of families of graphs. ]

Some Open Problems - Kézdy's open problems.

404 Some Open Problems in Graph Theory - Open Problems involving Steiner distance.

Three for the Money: The Degree/Diameter Problem - Students can understand and work on an unsolved problem in mathematics.

Unsolved Problems - Including the list of 50 problems of Bondy and Murty with current status. Compiled by Stephen C. Locke.

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For inventors who are looking for problems to solve the Open Problem Bank is a structured database of open technical ...
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