This collaborative project is
- a database of combinatorial statistics and maps on combinatorial collections and
- a search engine, identifying your data as the composition of known maps and statistics.
- a combinatorial collection is a collection $\mathcal{S} = \bigcup_{x}\mathcal{S}_x$ of finite sets $\mathcal{S}_x$ (e.g. the set of permutations)
- a combinatorial map is a map $\phi: \mathcal{S} \longrightarrow \mathcal{S'}$ between collections (e.g. the inverse of a permutation)
- a combinatorial statistic (or parameter) is a map $\operatorname{st}: \mathcal{S} \longrightarrow \mathbb{Z}$ (e.g. the order of a permutation)
- the database currently contains 1927 statistics and 316 maps on 24 collections
There is a detailed usage example and several MathOverflow discussions with examples of the database usage.
You may also consult a discussion of the FindStat project that we compiled for FPSAC 2019 conference.
You may also consult a discussion of the FindStat project that we compiled for FPSAC 2019 conference.