Colouring graph by the kernel P system

Abstract

The graph colouring problem is one of the most well-known NP-hard problems. It consists of dividing the set of nodes into classes, so that the nodes of each edge are not in the same class and the number of classes is the minimum corresponding to the number of colour classes. In this paper, we have used the kernel P systems to solve the graph colouring problem. To test the proposed system, three running examples are given using MeCoSim simulator.