Has FindStat helped you make progress on a problem? Did you discover a new conjecture from its data?

If so, please cite it and report the publication via info@findstat.org !

M. Rubey, C. Stump, et al. FindStat - The combinatorial statistics database, www.FindStat.org (2020).

@misc{FindStat,
  author        = {Martin Rubey and Christian Stump and others},
  title         = {{FindStat} - {T}he combinatorial statistics database},
  howpublished  = {\url{http://www.FindStat.org}},
  url           = {http://www.FindStat.org},
  note          = {Accessed: \today},
}

To reference an individual statistic or map, please use

www.findstat.org/St000123
www.findstat.org/Mp00045

FindStat is listed as #13588 in the swMATH information service for mathematical software.

1. FindStat citations

Standard complexes of matroids and lattice paths
- Alexander Engström, Raman Sanyal and Christian Stump
  Preprint (2019) arxiv
Counting inversions and descents of random elements in finite Coxeter groups
- Thomas Kahle and Christian Stump
  Math. Comp. 89, 437-464 (2020) journal / arXiv.
The Rank Enumeration of Certain Parabolic Non-Crossing Partitions
- Christian Krattenthaler and Henri Mühle
  Preprint (2019) arxiv
Combinatorics and zeros of multivariate polynomials
- Nima Amini
  PhD Thesis (2019), DiVA.
DiscreteZOO: A Fingerprint Database of Discrete Objects
- Katja Berčič and Janoš Vidali
  Mathematics in Computer Science (2020) journal
  In: Mathematical Software – ICMS 2018. Lecture Notes in Computer Science. Springer, Cham (2018 journal.
Distributions of Statistics over Pattern-Avoiding Permutations
- Michael Bukata, Ryan Kulwicki, Nicholas Lewandowski, Lara Pudwell, Jacob Roth, Teresa Wheeland
  J. Integer Seq. 22 (2019), journal.
A combinatorial classification of 2-regular simple modules for Nakayama algebras
- Rene Marczinzik, Martin Rubey and Christian Stump
  Preprint (2018) arxiv
Tableaux posets and the fake degrees of coinvariant algebras
- Sara C. Billey, Matjaž Konvalinka, Joshua P. Swanson
  Preprint (2018), arXiv.
A Geometric Interpretation of the Intertwining Number
- Mahir Bilen Can, Yonah Cherniavsky and Martin Rubey
  Electron. J. Combin 26(2) (2019), journal / arXiv.
Enumerations relating braid and commutation classes
- Susanna Fishel, Elizabeth Milićević, Rebecca Patrias and Bridget Eileen Tenner
  European J. Combin. 74 (2018), 11-26 journal / arXiv.
Gamma expansions of q-Narayana polynomials, pattern avoidance and the (−1)-phenomenon
- Shishuo Fu, Dazhao Tang, Bin Han and Jiang Zeng
  Preprint (2018), arXiv.
Identities from representation theory
- Se-jin Oh and Travis Scrimshaw
  Discrete Math. 342(9) (2019), 2493-2541, journal / arXiv.
Descent distribution on Catalan words avoiding a pattern of length at most three
- Jean-Luc Baril, Sergey Kirgizov, and Vincent Vajnovszki
  Discrete Math. 341(9) (2018) 2608-2615 , journal / arXiv.
Small Ramsey numbers
- Radziszowski, Stanisław P.
  Electron. J. Combin 1(7), revision #15 (2017), journal.
Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley bijection
- Martin Rubey and Christian Stump
  J. Integer Seq. 20 (2017), journal / arXiv.
The set of alternating sign matrices which are determined by their X-ray is a member of the Catalan family
- Martin Rubey
  Preprint (2017), arXiv.
Lipschitz polytopes of posets and permutation statistics
- Raman Sanyal and Christian Stump
  J. Combin. Theory Ser. A 158 (2018) 605-620, journal / arXiv.
An involution on Dyck paths that preserves the rise composition and interchanges the number of returns and the position of the first double fall
- Martin Rubey
  Sém. Lothar. Combin., B77f (2018), 4 pp, journal / arXiv.
Combinatorics of diagrams of permutations
- Joel B. Lewis and Alejandro H. Morales
  J. Combin. Theory Ser. A 137 (2016), arXiv.
Counting smaller elements in the Tamari and m-Tamari lattices
- Viviane Pons and Grégory Chatel
  J. Combin. Theory Ser. A 134 (2015), arXiv.
How to decompose a permutation into a pair of labeled Dyck paths by playing a game
- Louis J. Billera, Lionel Levine, and Karola Meszaros
  Proc. Amer. Math. Soc. 143 (2015), 1865-1873, arXiv.
Combinatoire algébrique liée aux ordres sur les permutations
- Viviane Pons
  PhD Thesis (2013), arXiv.
Fingerprint databases for theorems
- Sara C. Billey and Bridget E. Tenner
  Notices of the AMS 60(8) (2013), journal / arXiv.