#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### LIBRARY OF TRIANGULATIONS ### ### by Bruno Benedetti and Frank H. Lutz ### ### http://page.math.tu-berlin.de/~lutz/stellar/library_of_triangulations.html ### ### ### ### ### ### name of example: ### ### ### ### Hom_C6_compl_K5_small ### ### ### ### ### ### description: ### ### ### ### obtained via bistellar flips from the product triangulation ### ### of the Hom complex ### ### Hom(C6_compl,K_5) = (S^2xS^2)^29 ### ### ### ### ### ### properties: ### ### ### ### f=(33,379,1786,2300,920), ### ### H_*=(Z,0,Z^58,0,Z), ### ### perfect discrete Morse vector: (1,0,58,0,1) ### ### ### ### ### ### references: ### ### ### ### P. Csorba and F. H. Lutz. ### ### Graph coloring manifolds. ### ### Algebraic and Geometric Combinatorics, Euroconf. Math., ### ### Anogia, Crete, Greece, 2005 (C. A. Athanasiadis, V. V. Batyrev, ### ### D. I. Dais, M. Henk, and F. Santos, eds.). ### ### Contemporary Mathematics 423, 51-69. AMS, Providence, RI, 2006. ### ### ### ### A. Björner and F. H. Lutz. ### ### Simplicial manifolds, bistellar flips and a 16-vertex ### ### triangulation of the Poincaré homology 3-sphere. ### ### Exp. Math. 9, 275-289 (2000). ### ### ### ### B. Benedetti and F. H. Lutz. ### ### Random discrete Morse theory and a new library of triangulations. ### ### Exp. 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