Open Problems for Undergraduates


Open Problems by Area
Graph Theory
Combinatorial Geometry
Geometry/Number theory
Venn Diagrams
Inequalities
Polyominos



This is a collection of open problems in Discrete Mathematics which are currently being researched by members of the DIMACS community. These problems are easily stated, require little mathematical background, and may readily be understood and worked on by anyone who is eager to think about interesting and unsolved mathematical problems.

Some of these problems are quite hard and have been open for a long time. Others are newer. For further information on a particular problem, you may write to the associated researcher.

Although these problems are intended for undergraduates, it is expected that high school students, teachers, graduate students and professional mathematicians will be drawn to this collection. This is not discouraged.


Each of these problems is associated with some member of DIMACS. If you have any questions, comments, insights or solutions, please send email to the researcher who is listed with the problem.

These pages are maintained by Robert Hochberg.
Last modified Feb. 5, 1997.