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 (2017).

@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},
year          = 2017,
note          = {Accessed: \today},
}

To reference an individual statistic or map, please use

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

# 1. FindStat citations

• Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley bijection by Martin Rubey and Christian Stump, J. Integer Seq. 20, Article 17.9.6, arXiv:1708.05092 (2017).

• The set of alternating sign matrices which are determined by their X-ray is a member of the Catalan family by Martin Rubey, preprint, arXiv:1707.06802 (2017).

• Lipschitz polytopes of posets and permutation statistics by Raman Sanyal and Christian Stump, preprint, arXiv:1703.10586 (2017).

• An involution on Dyck paths that preserves the rise composition and interchanges the number of returns and the position of the first double fall by Martin Rubey, preprint, arXiv:1701.07009 (2017).

• Combinatorics of diagrams of permutations by Joel B. Lewis and Alejandro H. Morales, J. Combin. Theory Ser. A 137 arXiv:1405.1608 (2016).

• Counting smaller elements in the Tamari and m-Tamari lattices by Viviane Pons and Grégory Chatel, J. Combin. Theory Ser. A 134 arXiv:1311.3922 (2015).

• Combinatoire algébrique liée aux ordres sur les permutations by Viviane Pons, PhD Thesis, arXiv:1310.1805 (2013).

• How to decompose a permutation into a pair of labeled Dyck paths by playing a game by Louis J. Billera, Lionel Levine, and Karola Meszaros, Proc. Amer. Math. Soc. 143 (2015), 1865-1873, arXiv:1306.6744 (2013).

• Fingerprint databases for theorems by Sara C. Billey and Bridget E. Tenner, Notices of the AMS 60(8), pdf (2013).