@article {866,
	title = {An Optimal Frontier of the Efficiency of Tissue P Systems with Cell Division},
	journal = {Tenth Brainstorming Week on Membrane Computing},
	volume = {II},
	year = {2012},
	month = {02/2012},
	pages = {141-166},
	publisher = {F{\'e}nix Editora},
	address = {Seville, Spain},
	abstract = {In the framework of tissue P systems with cell division, the length of communication rules provides a frontier for the tractability of decision problems. On the
one hand, the limitation on the efficiency of tissue P systems with cell division and
communication rules of length 1 has been established. On the other hand, polynomial
time solutions to NP{\textendash}complete problems by using families of tissue P systems with cell
division and communication rules of length at most 3 has been provided.
In this paper, we improve the previous result by showing that the HAM-CYCLE problem
can be solved in polynomial time by a family of tissue P systems with cell division by
using communication rules with length at most 2. Hence, a new tractability boundary is
given: passing from 1 to 2 amounts to passing from non{\textendash}efficiency to efficiency, assuming
that P is different from NP.},
	url = {http://www.gcn.us.es/10BWMC/10BWMCvolII/papers/mario-enrico-niall-revised.pdf},
	author = {Antonio E. Porreca and Niall Murphy and Mario J. P{\'e}rez-Jim{\'e}nez}
}
