Unit Interval Parking Functions and the r-Fubini Numbers

Author:

Bradt S. Alex,Elder JenniferORCID,Harris Pamela E.,Kirby Gordon Rojas,Reutercrona Eva,Wang Yuxuan,Whidden Juliet

Publisher

Springer Science and Business Media LLC

Reference15 articles.

1. Carlitz, L.: Weighted stirling numbers of the first and second kind-ii. Fibonacci Quart 18(3), 242–257 (1980)

2. Cayley, A.: On the Analytical Forms Called Trees, with Application to the Theory of Chemical Combinations. Cambridge Library Collection - Mathematics, vol. 9, pp. 427–460. Cambridge University Press, Cambridge (2009)

3. Comtet, L.: Advanced Combinatorics. The Art of Finite and Infinite Expansions (enlarged edition), enlarged Reidel Publishing Co, Dordrecht (1974)

4. Elder, J., Harris, P.E., Kretschmann, J., Martínez Mori, J.C.: Parking functions, Fubini rankings, and Boolean intervals in the weak order of $${\mathfrak{S}} _{n}$$. Accepted at J. Comb. (2023). Arxiv:2201.12887

5. Gessel, I.M., Seo, S.: A refinement of Cayley’s formula for trees. Electron. J. Comb. 11(2):Research Paper 27, 23 (2004–2006)

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