A Fibonacci sequence for linear structures with two types of components
Combinatorics
2009-07-23 v2
Abstract
We investigate binary voting systems with two types of voters and a hierarchy among the members in each type, so that members in one class have more influence or importance than members in the other class. The purpose of this paper is to count, up to isomorphism, the number of these voting systems for an arbitrary number of voters. We obtain a closed formula for the number of these systems, this formula follows a Fibonacci sequence with a smooth polynomial variation on the number of voters.
Cite
@article{arxiv.0907.3853,
title = {A Fibonacci sequence for linear structures with two types of components},
author = {Josep Freixas and Xavier Molinero and Salvador Roura},
journal= {arXiv preprint arXiv:0907.3853},
year = {2009}
}
Comments
All the results contained in this file are included in a paper submitted to Annals of Operations Research in October, 2008 on ocasion of the Conference on Applied Mathematical Programming and Modelling, that held in Bratislava in May, 2008