Discrete Morse Theory Based Dynamic P Systems

Abstract

This paper proposes a class of dynamic P systems with constraint of discrete Morse function (DMDP systems). Membrane structure is extended on complex. Rules control activities of membranes. New classes of rules and mechanism to change types of rules by discrete gradient vector field are provided as well.DMDP system extends P systems both in structures and rules. Solving air quality evaluation problem in linear time verifies the effectiveness ofDMDP systems. Since air quality evaluation problem has significance in many areas. The new P systems provide an alternative for traditional membrane computing.