@article(armstrong2009, author = "Drew Armstrong", year = "2009", title = "The sorting order on a Coxeter group", journal = "Journal of Combinatorial Theory", volume = "116", number = "8", pages = "1285--1305", ) @article(be1999, author = "Robert B\'edard", year = "1999", title = "On commutation classes of reduced words in Weyl groups", journal = "European J. Combin.", volume = "20", number = "6", pages = "483--505", doi = "10.1006/eujc.1999.0296", ) @book(bb2005, author = "Anders Bj\"orner and Francesco Brenti", year = "2005", title = "Combinatorics of Coxeter Groups", publisher = "Springer", address = "New York", doi = "10.1016/j.jcta.2009.03.009", ) @article(bw1991, author = "Graham Brightwell and Peter Winkler", year = "1991", title = "Counting linear extensions", journal = "Order", volume = "8", number = "3", pages = "225--242", doi = "10.1007/BF00383444", ) @article(meng2010, author = "Delong Meng", year = "2010", title = "Reduced decompositions and commutation classes", url = "http://arxiv.org/abs/1009.0886", ) @article(nh2006, author = "Hariharan Narayanan", year = "2006", title = "On the complexity of computing Kostka numbers and Littlewood-Richardson coefficients (English summary)", journal = "J. Algebraic Combin.", volume = "24", number = "3", pages = "347--354", doi = "10.1007/s10801-006-0008-5", ) @article(stanley1984, author = "Richard P. Stanley", year = "1984", title = "On the number of reduced decompositions of elements of Coxeter groups", journal = "European J. Combin.", volume = "5", number = "4", pages = "359--372", ) @book(stanley, author = "Richard P. Stanley", year = "1997", title = "Enumerative Combinatorics Volume I", publisher = "Cambridge University Press", address = "New York", ) @article(tenner2006, author = "Bridget E. Tenner", year = "2006", title = "Reduced decompositions and permutation patterns", journal = "Journal of Algebraic Combinatorics", volume = "24", number = "3", pages = "263--284", doi = "10.1007/s10801-006-0015-6", ) @article(wdmb2005, author = "M. Widom and N. Destainville and R. Mosseri and F. Bailly", year = "2005", title = "Random tilings of high symmetry. II. Boundary conditions and numerical studies", journal = "J. Stat. Phys.", volume = "120", number = "5", pages = "837--873", doi = "10.1007/s10955-005-6998-x", )