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r-Whitney numbers of Dowling lattices
- Issue Date
- 6-Aug-2012
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Dowling lattice; Whitney numbers; r-Stirling numbe
- Citation
- DISCRETE MATHEMATICS, v.312, no.15, pp.2337 - 2348
- Indexed
- SCIE
SCOPUS
- Journal Title
- DISCRETE MATHEMATICS
- Volume
- 312
- Number
- 15
- Start Page
- 2337
- End Page
- 2348
- ISSN
- 0012-365X
- Abstract
- Let G be a finite group of order m >= 1. A Dowling lattice Q(n)(G) is the geometric lattice of rank n over G. In this paper, we define the r-Whitney numbers of the first and second kind over Q(n)(G), respectively. This concept is a common generalization of the Whitney numbers and the r-Stirling numbers of both kinds. We give their combinatorial interpretations over the Dowling lattice and we obtain various new algebraic identities. In addition, we develop the r-Whitney-Lah numbers and the r-Dowling polynomials associated with the Dowling lattice. (C) 2012 Elsevier B.V. All rights reserved.
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Related Researcher
- CHEON, GI SANG
- Science (Mathematics)