Abstract : ECO is a method for the enumeration of classes of combinatorial objects based on recursive constructions of such classes. In the first part of this paper we present a construction for the class of convex polyominoes based on the ECO method. Then we translate this construction into a succession rule. The final goal of the paper is to determine the generating function of convex polyominoes according to the semi-perimeter, and it is achieved by applying an idea introduced in [11].
https://hal.inria.fr/hal-01183315 Contributor : Coordination Episciences IamConnect in order to contact the contributor Submitted on : Wednesday, August 12, 2015 - 10:10:23 AM Last modification on : Tuesday, December 7, 2021 - 4:26:03 PM Long-term archiving on: : Friday, November 13, 2015 - 11:34:56 AM
A. del Lungo, E. Duchi, A. Frosini, S. Rinaldi. Enumeration of convex polyominoes using the ECO method. Discrete Models for Complex Systems, DMCS'03, 2003, Lyon, France. pp.103-116, ⟨10.46298/dmtcs.2307⟩. ⟨hal-01183315⟩