Their actual location in space is of no importantance, only the presence or absence of a connection between each pair of vertices is taken into account. Operations Research is a new interdisciplanary science involving combinatorics, management, computer science, and mathematics. Its goal is to find new algorithms and determine bounds to the efficiency of various computational and operational problems. A typical problem might involve a scheduling number of jobs to be executed on a system of multiprocessors, so that the total time required is minimized. It is often useful to randomly generate combinatorial structures to use as input in order to test the behavior of computer programs.
Research is underway in Bordeaux on the uniform generation of combinatorial structures.
The following classification is loosely based on that of the American Mathematical Society . Details are included for some of those branches of combinatorics treated at LaBRI . Details on more branchs of combinatorics Please send me your comments, corrections, and additions.