A poset structure on quasifibonacci partitions
Combinatorics
2008-02-12 v1
Abstract
In this paper, we study partitions of positive integers into distinct quasifibonacci numbers. A digraph and poset structure is constructed on the set of such partitions. Furthermore, we discuss the symmetric and recursive relations between these posets. Finally, we prove a strong generalization of Robbins' result on the coefficients of a quasifibonacci power series.
Cite
@article{arxiv.0802.1293,
title = {A poset structure on quasifibonacci partitions},
author = {Hansheng Diao},
journal= {arXiv preprint arXiv:0802.1293},
year = {2008}
}
Comments
16 pages, 6 figures