DMTCS Proceedings, Discrete Models for Complex Systems, DMCS'03

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DMTCS Conference vol AB (2003), pp. 103-116


Discrete Models for Complex Systems, DMCS'03

Michel Morvan and Éric Rémila (eds.)

DMTCS Conference Volume AB (2003), pp. 103-116

author: Del Lungo, A., E. Duchi, A. Frosini and S. Rinaldi
title: Enumeration of convex polyominoes using the ECO method
keywords: convex polyominoes, ECO method, succession rules, kernel method, generating functions.
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].
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reference: Del Lungo, A. and E. Duchi and A. Frosini and S. Rinaldi (2003), Enumeration of convex polyominoes using the ECO method, in Discrete Models for Complex Systems, DMCS'03, Michel Morvan and Éric Rémila (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AB, pp. 103-116
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