% Encoding: UTF-8 @Book{zas75, title = {{Facing up to arrangements: Face-count formulas for partitions of space by hyperplanes}}, publisher = {Providence, RI: American Mathematical Society (AMS)}, year = {1975}, author = {Thomas {Zaslavsky}}, volume = {154}, fjournal = {{Memoirs of the American Mathematical Society}}, journal = {{Mem. Am. Math. Soc.}}, language = {English}, msc2010 = {51M20 05B35 05A15}, pages = {102}, zbl = {0296.50010}, } @Article{athanas96, author = {Christos A. {Athanasiadis}}, title = {{Characteristic polynomials of subspace arrangements and finite fields}}, journal = {{Adv. Math.}}, year = {1996}, volume = {122}, number = {2}, pages = {193--233}, fjournal = {{Advances in Mathematics}}, language = {English}, msc2010 = {52C35}, publisher = {Elsevier (Academic Press), San Diego, CA}, zbl = {0872.52006}, } @InCollection{stanarr07, author = {Richard P. {Stanley}}, title = {{An introduction to hyperplane arrangements}}, booktitle = {Geometric Combinatorics}, publisher = {Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Studies}, year = {2007}, pages = {389--496}, language = {English}, msc2010 = {52C35 05B35 52-01}, zbl = {1136.52009}, } @Book{stanbook, title = {Enumerative Combinatorics}, volume = {1}, publisher = {Cambridge: Cambridge University Press}, year = {1997}, author = {Richard P. {Stanley}}, fjournal = {{Cambridge Studies in Advanced Mathematics}}, journal = {{Camb. Stud. Adv. Math.}}, language = {English}, msc2010 = {05-02 05A15 05A16 06A07}, pages = {xi + 325}, zbl = {0889.05001}, } @MISC{oeis, AUTHOR={N. J. A. Sloane}, TITLE={The {O}n-{L}ine {E}ncyclopedia of {I}nteger {S}equences}, URL = {http://oeis.org}, } @Book{ec2, Author = {Richard P. {Stanley}}, Title = {Enumerative combinatorics}, volume = {2}, FJournal = {{Cambridge Studies in Advanced Mathematics}}, Journal = {{Camb. Stud. Adv. Math.}}, Pages = {xii + 585}, Year = {2001}, Publisher = {Cambridge: Cambridge University Press}, Language = {English}, MSC2010 = {05-02 05A15 05A16 06A07 05E05}, Zbl = {0978.05002} } @Book{cat, Author = {Richard P. {Stanley}}, Title = {Catalan Numbers}, Pages = {viii + 215}, Year = {2015}, Publisher = {Cambridge: Cambridge University Press}, Language = {English}, DOI = {10.1017/CBO9781139871495}, MSC2010 = {05A10 05-01 05A15 11B65 11B75 11B83}, Zbl = {1317.05010} } @Book{gra, Author = {Ronald L. {Graham} and Donald E. {Knuth} and Oren {Patashnik}}, Title = {{Concrete mathematics: a foundation for computer science.}}, Pages = {xiii + 657}, Year = {1994}, Publisher = {Amsterdam: Addison-Wesley Publishing Group}, Language = {English}, MSC2010 = {00A05 68-01 11B65 11Axx 05A10}, Zbl = {0836.00001} } @Article{stanint, Author = {Richard P. {Stanley}}, Title = {{Hyperplane arrangements, interval orders, and trees}}, FJournal = {{Proceedings of the National Academy of Sciences of the United States of America}}, Journal = {{Proc. Natl. Acad. Sci. USA}}, Volume = {93}, Number = {6}, Pages = {2620--2625}, Year = {1996}, Publisher = {National Academy of Sciences, Washington, DC}, Language = {English}, DOI = {10.1073/pnas.93.6.2620}, MSC2010 = {05A15 52C35 05C05 05C30 06A07}, Zbl = {0848.05005} } @Article{ber, Author = {Olivier {Bernardi}}, Title = {{Deformations of the braid arrangement and trees}}, FJournal = {{Advances in Mathematics}}, Journal = {{Adv. Math.}}, Volume = {335}, Pages = {466--518}, Year = {2018}, Publisher = {Elsevier (Academic Press), San Diego, CA}, Language = {English}, DOI = {10.1016/j.aim.2018.07.020}, MSC2010 = {05C30 14N15 20F55}, Zbl = {1394.05056} } @article{ard, title={Computing the Tutte polynomial of a hyperplane arragement}, author={Federico {Ardila}}, fjournal={Pacific Journal of Mathematics}, journal = {Pacific J. Math.}, volume={230}, number={1}, pages={1--26}, year={2007}, publisher={Mathematical Sciences Publishers} } @misc{arXiv, title={A branch statistic for trees: Interpreting coefficients of the characteristic polynomial of braid deformations}, author={Priyavrat Deshpande and Krishna Menon}, year={2021}, eprint={2111.11403}, archivePrefix={arXiv}, primaryClass={math.CO} } @article{rethill, title={Returns and hills on generalized {D}yck paths}, author={Naiomi T. Cameron and Jillian McLeod}, journal={J. Integer Seq.}, year={2016}, volume={19}, pages={16.6.1} }