Combinatorial structures encompass an array of discrete objects—permutations, set partitions, matchings, trees and lattice paths—whose enumeration and intrinsic properties are often captured by ...

Degenerate polynomial structures constitute a rapidly expanding area of combinatorial analysis in which classical families of polynomials and numbers are deformed by an additional parameter, often ...

New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs. When you deposit a quarter and turn the crank on a gumball machine, the ...