On the chromatic number of graphs Academic Article uri icon


  • Computing the chromatic number of a graph is an NP-hard problem. For random graphs and some other classes of graphs, estimators of the expected chromatic number have been well studied. In this paper, a new 0-1 integer programming formulation for the graph coloring problem is presented. The proposed new formulation is used to develop a method that generates graphs of known chromatic number by using the KKT optimality conditions of a related continuous nonlinear program.

author list (cited authors)

  • Butenko, S., Festa, P., & Pardalos, P. M.

publication date

  • April 2001