Solving the partition problem by using tissue-like P systems with cell division

TitleSolving the partition problem by using tissue-like P systems with cell division
Publication TypeConference Contributions
Year of Publication2008
AuthorsDíaz-Pernil, D., Gutiérrez-Naranjo M. A., Pérez-Jiménez M. J., & Riscos-Núñez A.
Conference Name6th Brainstorming Week on Membrane Computing
Volume TitleProceedings of the Sixth Brainstorming Week on Membrane Computing
ISBN Number978-84-612-44
PublisherFénix Editora
Place PublishedSevilla, Spain
Volume6
Pages124-134
Abstract

Tissue-like P systems with cell division is a computing model in the framework
of Membrane Computing that shares with the spiking neural P system model a
similar biological inspiration. Namely, both models are based on the intercellular communication
and cooperation between neurons, respectively. Due to this fact, in both
models the devices have the same structure: a network of elementary units (cells in a
tissue and interconnected neurons, respectively). Nonetheless, the two models are quite
different. One of the differences is the ability of tissue-like P systems with cell division
for increasing the number of cells during the computation. In this paper we exploit this
ability and present a polynomial-time solution for the (NP-complete) Partition problem
via a uniform family of such P systems.

URLhttp://www.gcn.us.es/6BWMC/volume/agustin.pdf