Combinatorial stacks and the four-color theorem
Combinatorial statistics on type-B analogues of noncrossing partitions and restricted permutations.
Combinatorial Structures in Loops.
Combinatorial topology and the global dimension of algebras arising in combinatorics
In a highly influential paper, Bidigare, Hanlon and Rockmore showed that a number of popular Markov chains are random walks on the faces of a hyperplane arrangement. Their analysis of these Markov chains took advantage of the monoid structure on the set of faces. This theory was later extended by Brown to a larger class of monoids called left regular bands. In both cases, the representation theory of these monoids played a prominent role. In particular, it was used to compute the spectrum of the...
Combinatorial vs. algebraic characterizations of completely pseudo-regular codes.
Combinatoric properties of classes in AST
Combinatorics and cluster expansions.
Combinatorics and quantifiers
Let be the set of subsets of of cardinality . Let be a coloring of and a coloring of . We write if every -homogeneous is also -homogeneous. The least such that for some is called the -width of and denoted by . In the first part of the paper we prove the existence of colorings with high -width. In particular, we show that for each and there is a coloring with . In the second part of the paper we give applications of wide colorings in the theory of generalized quantifiers....
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.
Combinatorics of geometrically distributed random variables: New -tangent and -secant numbers.
Combinatorics of identities involving Meixner polynomials. (Combinatoire des identités sur les polynômes de Meixner.)
Combinatorics of integer partitions in arithmetic progression.
Combinatorics of open covers (VII): Groupability
We use Ramseyan partition relations to characterize: ∙ the classical covering property of Hurewicz; ∙ the covering property of Gerlits and Nagy; ∙ the combinatorial cardinal numbers and add(ℳ ). Let X be a -space. In [9] we showed that has countable strong fan tightness as well as the Reznichenko property if, and only if, all finite powers of X have the Gerlits-Nagy covering property. Now we show that the following are equivalent: 1. has countable fan tightness and the Reznichenko property. 2....
Combinatorics of orientation reversing polygons.
Combinatorics of partial derivatives.
Combinatorics of singly-repairable families.
Combinatorics of the free Baxter algebra.
Combinatorics of the three-parameter PASEP partition function.
Combinatorics of tripartite boundary connections for trees and dimers.
Combinatorics, superalgebras, invariant theory and representation theory.