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On the spiral property of the q-derangement numbers

Authors :
Xiang-De Zhang
Source :
Discrete Mathematics. 159:295-298
Publication Year :
1996
Publisher :
Elsevier BV, 1996.

Abstract

We discover the spiral property of the q -derangement numbers arising from q -counting of derangements by the major index. The spiral property implies that the polynomial is unimodal and the maximum coefficient appears exactly in the middle, which confirms a conjecture of Chen and Rota.

Subjects

Subjects :
Combinatorics
Derangement
Polynomial
Mathematics::Combinatorics
Conjecture
Property (philosophy)
Discrete Mathematics and Combinatorics
Major index
Spiral
Theoretical Computer Science
Mathematics

Details

ISSN :
0012365X
Volume :
159
Database :
OpenAIRE
Journal :
Discrete Mathematics
Accession number :
edsair.doi.dedup.....e8301645898b517baec7f99fe22b34df

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