The largest singletons of set partitions

DOI10.1016/j.ejc.2010.10.011zbMath1290.05020arXiv1007.1341OpenAlexW1969108841WikidataQ64330959 ScholiaQ64330959MaRDI QIDQ627924

Yidong Sun, Xiao-Juan Wu

Publication date: 4 March 2011

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1341

zbMATH Keywords

derangement numbers

Mathematics Subject Classification ID

Partitions of sets (05A18) Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05)

Related Items (10)

Backward Touchard congruence ⋮ Set partitions and partitions without singleton blocks of type \(B\) ⋮ Congruences on the Bell polynomials and the derangement polynomials ⋮ Counting permutations by simsun successions ⋮ Bounds on graph compositions and the connection to the Bell triangle ⋮ Linear \(L\)-algebras and prime factorization ⋮ Curious congruences related to the Bell polynomials ⋮ Divisibility properties of the \(r\)-Bell numbers and polynomials ⋮ Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups ⋮ Asymptotic approximations of the continuous Hahn polynomials and their zeros

Uses Software

• OEIS

Cites Work

• The largest and the smallest fixed points of permutations
• Formal calculus and umbral calculus
• A generalized recurrence for Bell polynomials: an alternate approach to Spivey and Gould-Quaintance formulas
• Maximum zero strings of Bell numbers module primes
• New modular properties of Bell numbers
• The umbral calculus
• Catalan, Motzkin, and Riordan numbers
• Engel's inequality for Bell numbers
• Some congruences concerning the Bell numbers
• Applications of the classical umbral calculus
• Nombres Exponentiels Et Nombres De Bernoulli
• The period of the Bell numbers modulo a prime
• Minimum Periods, Modulo p, of First-Order Bell Exponential Integers
• The Number of Partitions of a Set
• Numbers Generated by the Function e e x-1
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The largest singletons of set partitions