Matchings in complete bipartite graphs and the $r$-Lah numbers

DOI10.21136/CMJ.2021.0148-20OpenAlexW3164123318MaRDI QIDQ5016066

G. Rácz, Gábor Nyul

Publication date: 10 December 2021

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2021.0148-20

zbMATH Keywords

complete bipartite graph\(r\)-Stirling number of the second kindnumber of matchings\(r\)-Lah number

Mathematics Subject Classification ID

Graph polynomials (05C31) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (2)

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Cites Work

• Generalized \(r\)-Lah numbers
• \(r\)-Whitney numbers of Dowling lattices
• Combinatorially interpreting generalized Stirling numbers
• Elliptic rook and file numbers
• The \(r\)-Stirling numbers
• Matching theory
• The partial \(r\)-Bell polynomials
• New combinatorial interpretations of \(r\)-Whitney and \(r\)-Whitney-Lah numbers
• The \(r\)-Dowling-Lah polynomials
• The \(r\)-Lah numbers
• Sums of r-Lah numbers and r-Lah polynomials
• A q-analogue of α־-Whitney numbers
• Generalizations of Bell number formulas of spivey and Mező
• Some formulas for the restricted r-Lah numbers
• The linear algebra of ther-Whitney matrices
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