A poset structure on quasifibonacci partitions

Hansheng Diao

doi:10.1016/j.jcta.2009.03.014

A poset structure on quasifibonacci partitions

Hansheng Diao

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	1361-1373
Number of pages	13
Journal	Journal of Combinatorial Theory. Series A
Volume	116
Issue number	8
DOIs	https://doi.org/10.1016/j.jcta.2009.03.014
State	Published - Nov 2009

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

Keywords

Quasifibonacci partitions

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10.1016/j.jcta.2009.03.014

Cite this

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title = "A poset structure on quasifibonacci partitions",

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.",

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author = "Hansheng Diao",

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N2 - 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.

AB - 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.

KW - Quasifibonacci partitions

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M3 - Article

AN - SCOPUS:70349338628

SN - 0097-3165

VL - 116

SP - 1361

EP - 1373

JO - Journal of Combinatorial Theory. Series A

JF - Journal of Combinatorial Theory. Series A

IS - 8

ER -

A poset structure on quasifibonacci partitions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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