A linear-time tissue P system based solution for the 3-coloring problem

Abstract

In the literature, several examples of the efficiency of cell-like P systems regarding the solution of NPcomplete problems in polynomial time can be found (obviously, trading space for time). Recently, different new models of tissue-like P systems have received important attention from the scientific community. In this paper we present a linear-time solution to an NP-complete problem from graph theory, the 3–coloring problem, and we discuss the suitability of tissue-like P systems as a framework to address the efficient solution to intractable problems.Ministerio de Educación y Ciencia TIN2005-09345-C04-01Junta de Andalucía TIC-58