Journal of Applied Mathematics
Volume 2013 (2013), Article ID 973501, 10 pages
http://dx.doi.org/10.1155/2013/973501
Research Article

A Discrete Dynamical Model of Signed Partitions

G. Chiaselotti, G. Marino, P. A. Oliverio, and D. Petrassi

Dipartimento di Matematica, Università della Calabria, Via Pietro Bucci, Cubo 30B, 87036 Arcavacata di Rende, Italy

Received 28 November 2012; Accepted 19 February 2013

Academic Editor: Luigi Muglia

Copyright © 2013 G. Chiaselotti et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We use a discrete dynamical model with three evolution rules in order to analyze the structure of a partially ordered set of signed integer partitions whose main properties are actually not known. This model is related to the study of some extremal combinatorial sum problems.