Combinatorics and discrete mathematics constitute the study of finite or countable structures and the algorithms that govern them. At its heart is enumeration: the art of counting arrangements, ...

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 ...

Mathematical truths are often born of the conflict between order and disorder. Mathematicians discover patterns, and, to better understand the mysterious forces at play, they look for countervailing ...