http://www.ecp6.jussieu.fr/pageperso/bondy/bondy.html Graph Theory with Applications J.A. Bondy and U.S.R. Murty S.C. Locke's Graph Theory web page http://www.math.fau.edu/locke/GRAPHTHE.HTM http://dimacs.rutgers.edu/~hochberg/undopen/graphtheory/graphtheory.html http://dimacs.rutgers.edu/~hochberg/undopen/graphtheory/graphtheory.html http://www.math.fau.edu/locke/Unsolved.htm http://people.freenet.de/Emden-Weinert/graphs.html#OpenProblems http://archives.math.utk.edu/topics/discreteMath.html http://www.utm.edu/cgi-bin/caldwell/tutor/departments/math/graph/intro 1. Old Königsberg had seven bridges (marked a through g in the sketch). The townspeople wondered if was possible to take a walk around the town in such a way as to cross each of the seven bridges exactly once. What do you think? 2. How many colors do we need to color a map so that every pair of countries with a border in common have different colors? 3. Given a map of several cities and the roads between them, is it possible for a traveling salesman to visit (pass through) each of the cities exactly once?