%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nick Beaton at 2019-05-19 12:59:08 +0300 %% Saved with string encoding Unicode (UTF-8) @phdthesis{Athanasiadis:PhD, Author = {Athanasiadis, C.A.}, School = {MIT}, Title = {Algebraic combinatorics of graph spectra, subspace arrangements and {T}utte polynomials}, Year = {1996}} @article{Athanasiadis:finite-field-method, Author = {Athanasiadis, C.A.}, Journal = {Adv. Math.}, Number = {2}, Pages = {193-233}, Title = {Characteristic polynomials of subspace arrangements and finite fields}, Volume = {122}, Year = {122}} @article{Athanasiadis:bijection-Shi, Author = {Athanasiadis, C.A. and Linusson, S.}, Date-Modified = {2019-05-19 12:53:12 +0300}, Doi = {10.1016/s0012-365x(98)00365-3}, Journal = {Discrete Math.}, Number = {1}, Pages = {27-39}, Title = {A simple bijection for the regions of the Shi arrangement of hyperplanes}, Volume = {204}, Year = {1999}} @book{Flajolet:analytic, Author = {Flajolet, P. and Sedgewick, R.}, Publisher = {Cambridge University Press}, Title = {Analytic combinatorics}, Year = {2009}} @book{Orlik:hyperplane-arrangements, Author = {Orlik, P. and Terao, H.}, Publisher = {Springer-Verlag}, Title = {Arrangements of Hyperplanes}, Year = {1992}} @book{Shi:nb-regions, Author = {Shi, J.Y.}, Date-Modified = {2019-05-19 12:54:08 +0300}, Number = {1179}, Publisher = {Springer-Verlag}, Series = {Lecture Notes in Mathematics}, Title = {The {K}azhdan-{L}usztig Cells in Certain Affine {W}eyl Groups}, Year = {1986}} @inproceedings{Stanley:hyperplane-arrangements, Author = {Stanley, R.P.}, Booktitle = {Geometric Combinatorics}, Date-Modified = {2019-05-19 12:59:08 +0300}, Number = {13}, Pages = {389--496}, Publisher = {Amer. Math. Soc., Providence, RI}, Series = {IAS/Park City Mathematics Series}, Title = {An introduction to hyperplane arrangements}, Url = {http://math.mit.edu/~rstan/arrangements/arr.html}, Year = {2004}} @book{Stanley:ec1, Author = {Stanley, R.P.}, Collection = {Cambridge Studies in Advanced Mathematics}, Edition = {2nd}, Place = {Cambridge}, Publisher = {Cambridge University Press}, Title = {Enumerative Combinatorics}, Volume = {1}, Year = {2011}} @book{Stanley:volume2, Author = {Stanley, R.P.}, Date-Modified = {2019-05-19 12:55:14 +0300}, Publisher = {Cambridge University Press}, Title = {Enumerative Combinatorics}, Volume = {2}, Year = {1999}} @article{Stanley:hyperplane-interval-orders-overview, Author = {Stanley, R.P.}, Date-Modified = {2019-05-19 12:55:02 +0300}, Doi = {10.1073/pnas.93.6.2620}, Journal = {Proc. Nat. Acad. Sci.}, Number = {6}, Pages = {2620-2625}, Title = {Hyperplane arrangements, interval orders and trees}, Volume = {93}, Year = {1996}} @article{Bernardi:hyperplane-trees, Author = {Bernardi, O.}, Date-Modified = {2019-05-19 12:53:46 +0300}, Doi = {10.1016/j.aim.2018.07.020}, Journal = {Adv. in Math.}, Pages = {466-518}, Title = {Deformations of the braid arrangement and trees}, Volume = {335}, Year = {2018}} @article{Prufer:codes, Author = {Pr\"ufer, H.}, Journal = {Arch. Math. Phys.}, Pages = {742-744}, Title = {Neuer beweis eines satzes uber permutationen}, Url = {https://ci.nii.ac.jp/naid/10028221960/en/}, Volume = {27}, Year = {1918}, Bdsk-Url-1 = {https://ci.nii.ac.jp/naid/10028221960/en/}} @incollection{Goodman:dehn-sommerville, Address = {Boca Raton, FL, USA}, Author = {Billera, L. and Bjorner, A.}, Booktitle = {Handbook of Discrete and Computational Geometry}, Chapter = {17}, Editor = {Goodman, Jacob E. and O'Rourke, Joseph}, Optisbn = {0-8493-8524-5}, Pages = {291-310}, Publisher = {CRC Press, Inc.}, Title = {Face numbers of polytopes and complexes}, Year = {1997}} @article{Athanasiadis:reciprocity, Author = {Athanasiadis, C.A.}, Journal = {Canad. Math. Bull}, Number = {1}, Pages = {3--10}, Title = {A combinatorial reciprocity theorem for hyperplane arrangements}, Volume = {53}, Year = {2010}}