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 (2022).

@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

The Newton polytope and Lorentzian property of chromatic symmetric functions
- Jacob P. Matherne, Alejandro H. Morales and Jesse Selover
  Preprint arXiv (2022).
Expected value of letters of permutations with a given number of k-cycles
- Peter Kagey
  Preprint arXiv (2021).
An equidistribution involving invisible inversions
- Michael Coopman and Martin Rubey
  Preprint arXiv (2021).
An area-depth symmetric q,t-Catalan polynomial
- Joseph Pappe, Digjoy Paul and Anne Schilling
  Preprint arXiv (2021).
The finitistic dimension of a Nakayama algebra
- Claus Michael Ringel
  J. Algebra 576, journal / arXiv (2021).
A combinatorial classification of 2-regular simple modules for Nakayama algebras
- Rene Marczinzik, Martin Rubey and Christian Stump
  J. Pure Appl. Algebra 225(3) journal / arXiv (2021).
The set of alternating sign matrices which are determined by their X-ray is a member of the Catalan family
- Martin Rubey
  J. Integer Seq. 24, journal / arXiv (2021).
The birational Lalanne-Kreweras involution
- Sam Hopkins and Joseph Michael
  Preprint arXiv (2020).
Counting k-Naples parking functions through permutations and the k-Naples area statistic
- Laura Colmenarejo, Pamela E. Harris, Zakiya Jones, Christo Keller, Andrés Ramos Rodríguez, Eunice Sukarto, Andrés R. Vindas-Meléndez
  Preprint arXiv (2020).
Euler–Catalan's Number Triangle and Its Application
- Yuriy Shablya and Dmitry Kruchinin
  Symmetry 12(4) journal (2020).
Standard complexes of matroids and lattice paths
- Alexander Engström, Raman Sanyal and Christian Stump
  Preprint arXiv (2019).
Counting inversions and descents of random elements in finite Coxeter groups
- Thomas Kahle and Christian Stump
  Math. Comp. 89, 437-464 journal / arXiv (2020).
The Rank Enumeration of Certain Parabolic Non-Crossing Partitions
- Christian Krattenthaler and Henri Mühle
  Preprint arXiv (2019).
Combinatorics and zeros of multivariate polynomials
- Nima Amini
  PhD Thesis, DiVA (2019).
DiscreteZOO: A Fingerprint Database of Discrete Objects
- Katja Berčič and Janoš Vidali
  Mathematics in Computer Science journal (2020).
  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, journal (2019).
Tableaux posets and the fake degrees of coinvariant algebras
- Sara C. Billey, Matjaž Konvalinka, Joshua P. Swanson
  Adv. Math. 371, journal / arXiv (2020).
A Geometric Interpretation of the Intertwining Number
- Mahir Bilen Can, Yonah Cherniavsky and Martin Rubey
  Electron. J. Combin 26(2), journal / arXiv (2019).
Enumerations relating braid and commutation classes
- Susanna Fishel, Elizabeth Milićević, Rebecca Patrias and Bridget Eileen Tenner
  European J. Combin. 74, 11-26 journal / arXiv (2018).
Gamma expansions of q-Narayana polynomials, pattern avoidance and the (−1)-phenomenon
- Shishuo Fu, Dazhao Tang, Bin Han and Jiang Zeng
  Preprint, arXiv (2018).
Identities from representation theory
- Se-jin Oh and Travis Scrimshaw
  Discrete Math. 342(9), journal / arXiv (2019).
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), journal / arXiv (2018).
Small Ramsey numbers
- Radziszowski, Stanisław P.
  Electron. J. Combin 1(7), revision #15, journal (2017).
Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley bijection
- Martin Rubey and Christian Stump
  J. Integer Seq. 20, journal / arXiv (2017).
Lipschitz polytopes of posets and permutation statistics
- Raman Sanyal and Christian Stump
  J. Combin. Theory Ser. A 158, journal / arXiv (2018).
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, journal / arXiv (2018).
Combinatorics of diagrams of permutations
- Joel B. Lewis and Alejandro H. Morales
  J. Combin. Theory Ser. A 137, arXiv (2016).
Counting smaller elements in the Tamari and m-Tamari lattices
- Viviane Pons and Grégory Chatel
  J. Combin. Theory Ser. A 134, arXiv (2015).
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, arXiv (2015).
Combinatoire algébrique liée aux ordres sur les permutations
- Viviane Pons
  PhD Thesis, arXiv (2013).
Fingerprint databases for theorems
- Sara C. Billey and Bridget E. Tenner
  Notices of the AMS 60(8), journal / arXiv (2013).