How many colors do you need to color a bipartite network? How many colors do you need to color a work assignment network? Can a network have maximal cliques of different sizes? What if the network is...

How many colors do you need to color a bipartite network? How many colors do you need to color a work assignment network?

Can a network have maximal cliques of different sizes? What if the network is strongly connected? Build a program that uses a brute-force approach to find a clique of a given size entered by the user.