A bijection between atomic partitions and unsplitable partitions.
A generalization of Stirling numbers of the second kind via a special multiset.
A left weighted Catalan extension.
A -analogue of a formula of Frobenius.
A partition of R in two homogeneous and homeomorphic parts
A partition theorem for α-large sets
A problem of Schur and its generalizations
A topology with order, graph and an enumeration problem.
Admissible functions and asymptotics for labelled structures by number of components.
Advanced determinant calculus.
Bijective proofs of parity theorems for partition statistics.
Binary relations on the power set of an -element set.
Bonferroni-Galambos inequalities for partition lattices.
Character polynomials, their -analogs and the Kronecker product.
Chung-Feller property in view of generating functions.
Coalescents with simultaneous multiple collisions.
Combinatorial interpretations of the Jacobi-Stirling numbers.
Combinatorial necklace splitting.
Combinatorial statistics on type-B analogues of noncrossing partitions and restricted permutations.
Combinatorics of Dyadic Intervals: Consistent Colourings
We study the problem of consistent and homogeneous colourings for increasing families of dyadic intervals. We determine when this problem can be solved and when it cannot.