| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6423777 | Electronic Notes in Discrete Mathematics | 2016 | 6 Pages |
Abstract
Stirling numbers of the second kind and Bell numbers for graphs were defined by Duncan and Peele in 2009. In a previous paper, one of us, jointly with Nyul, extended the known results for these special numbers by giving new identities, and provided a list of explicit expressions for Stirling numbers of the second kind and Bell numbers for particular graphs. In this work we introduce q-Stirling numbers of the second kind and q-Bell numbers for graphs, and provide a number of explicit examples. Connections are made to q-binomial coefficients and q-Fibonacci numbers.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Zsófia R. Kereskényiné Balogh, Michael J. Schlosser,