On \(xD\)-generalizations of Stirling numbers and Lah numbers via graphs and rooks

zbMath1412.11051arXiv1701.00600MaRDI QIDQ528983

Yu-Chang Liang, Tsai-Lien Wong, Tung-Shan Fu, Sen-Peng Eu

Publication date: 18 May 2017

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00600

zbMATH Keywords

Stirling numbersLah numbersrook numbersnormal ordering problemquasi-threshold graphs

Mathematics Subject Classification ID

Graph polynomials (05C31) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Combinatorial aspects of representation theory (05E10)

Related Items (4)

Recent developments in combinatorial aspects of normal ordering ⋮ The multiset partitions and the generalized Stirling numbers ⋮ Unnamed Item ⋮ Total non-negativity of some combinatorial matrices

Uses Software

• OEIS

Cites Work

• Unnamed Item
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• A new combinatorial interpretation of a \(q\)-analogue of the Lah numbers
• Combinatorially interpreting generalized Stirling numbers
• Combinatorial models of creation-annihilation
• A combinatorial interpretation of q-derangement and q-Laguerre numbers
• The general boson normal ordering problem
• Path decompositions of digraphs and their applications to Weyl algebra
• Rook numbers and the normal ordering problem
• \(q\)-Bernoulli numbers and polynomials
• Combinatorics and Boson normal ordering: A gentle introduction
• Normal ordering formulae for some boson operators
• Normal ordering for deformed boson operators and operator-valued deformed Stirling numbers
• Rook Theory. I.: Rook Equivalence of Ferrers Boards
• On the combinatorics of normal ordering bosonic operators and deformations of it

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