A poset structure on quasifibonacci partitions

Details A poset structure on quasifibonacci partitions A poset structure on quasifibonacci partitions

2008-02-10

arxiv.org/abs/0802.1293v1

Mathematics

Combinatorics

16 pages, 6 figures

Scientific paper

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.

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