The famous Bridges of Konigsberg Problem: Can you cross all seven bridges over the river in a single trip, arriving back at your starting point and without crossing any bridge twice? In graph theory, this is the same as asking whether there is an Eulerian circuit on a multigraph with four nodes and seven edges. The great Swiss mathematician Leonhard Euler proved in 1736 that the answer is no. (Image by MIT OCW.)
This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent mathematics literature and writing a final paper in a related topic.