q-Stirling numbers of the second kind and q-Bell numbers for graphs

@article{Balogh2016qStirlingNO,
  title={q-Stirling numbers of the second kind and q-Bell numbers for graphs},
  author={Zs{\'o}fia R. Keresk{\'e}nyin{\'e} Balogh and Michael J. Schlosser},
  journal={Electronic Notes in Discrete Mathematics},
  year={2016},
  volume={54},
  pages={361-366}
}
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… CONTINUE READING
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