# Combinatorics Subject Area

A Combinatorics Subject Area is a discrete math subject area that involves countable discrete structures.

**See:**Combination, Permutation, Graph Theory, Discrete Algorithm, Combinatorial Chemistry, Countable Set, Discrete Mathematics, Mathematical Structure, Enumerative Combinatorics, Combinatorial Design, Matroid, Extremal Combinatorics, Combinatorial Optimization, Algebraic Combinatorics, Probability Theory, Topology.

## References

### 2014

- (Wikipedia, 2014) ⇒ http://en.wikipedia.org/wiki/combinatorics Retrieved:2014-11-19.
**Combinatorics**is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria (as in combinatorial designs and matroid theory), finding "largest", "smallest", or "optimal" objects (extremal combinatorics and combinatorial optimization), and studying combinatorial structures arising in an algebraic context, or applying algebraic techniques to combinatorial problems (algebraic combinatorics).Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry,

^{[1]}and combinatorics also has many applications in mathematical optimization, computer science, ergodic theory and statistical physics. Many combinatorial questions have historically been considered in isolation, giving an*ad hoc*solution to a problem arising in some mathematical context. In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is graph theory, which also has numerous natural connections to other areas. Combinatorics is used frequently in computer science to obtain formulas and estimates in the analysis of algorithms.A mathematician who studies combinatorics is called a

**combinatorialist**or a**combinatorist**.

- ↑ Björner and Stanley, p. 2

### 2009

- http://www.combinatorics.org/
- The Electronic Journal of Combinatorics is a fully-refereed electronic journal that welcomes papers in all branches of discrete mathematics, including combinatorics, graph theory, discrete algorithms, etc.