Editing Combinatorics (section)

===Algebraic combinatorics===
[[Image:Young diagram for 541 partition.svg|thumb|right|150px|[[Young diagram]] of the [[integer partition]] (5, 4, 1).]]
{{Main|Algebraic combinatorics}}

Algebraic combinatorics is an area of [[mathematics]] that employs methods of [[abstract algebra]], notably [[group theory]] and [[representation theory]], in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in [[abstract algebra|algebra]]. Algebraic combinatorics has come to be seen more expansively as an area of mathematics where the interaction of combinatorial and algebraic methods is particularly strong and significant. Thus the combinatorial topics may be [[Enumerative combinatorics|enumerative]] in nature or involve [[matroid]]s, [[polytope]]s, [[partially ordered set]]s, or [[Finite geometry|finite geometries]]. On the algebraic side, besides group and representation theory, [[lattice theory]] and [[commutative algebra]] are common.