The document discusses the class scheduling problem and different algorithms that can be used to solve it, including genetic algorithms, constraint propagation, and simulated annealing. It then presents an example of designing a class schedule with constraints of no conflicts between teachers and courses. The proposed approach uses bipartite matching and edge coloring on a graph with teachers and courses as vertices. It describes coloring the edges such that no two edges from a vertex have the same color, with the minimum number of colors needed being the maximum degree. An algorithm is presented that finds a maximum matching, removes it, and repeats to color the edges with the maximum number of colors needed.