W. Appel and . Haken, Every planar map is four colorable. I. Discharging, Illinois J. Math, vol.21, issue.3, pp.429-490, 1977.
DOI : 10.1090/s0002-9904-1976-14122-5
URL : http://projecteuclid.org/download/pdf_1/euclid.bams/1183538218

W. Appel, J. Haken, and . Koch, Every planar map is four colorable Brehm and W. Kühnel. 15-vertex triangulations of an 8-manifold, II. Reducibility. Illinois J. Math. Math. Ann, vol.21, issue.2941, pp.491-567167, 1977.

K. Dey, On counting triangulations in d dimensions, Computational Geometry, vol.3, issue.6, pp.315-325, 1993.
DOI : 10.1016/0925-7721(93)90005-Q

I. Flores, Über die Existenz n-dimensionaler Komplexe, die nicht in den R 2n topologisch einbettbar sind, Ergeb. Math. Kolloqu, vol.5, pp.17-24, 1933.

P. Goaoc, Z. Paták, M. Patáková, U. Tancer, and . Wagner, Bounding Helly numbers via Betti numbers, pp.1310-4613, 2013.

. Grünbaum, Imbeddings of simplicial complexes, Commentarii Mathematici Helvetici, vol.44, issue.1, pp.502-513, 1969.
DOI : 10.1007/BF02564551

. Hatcher, Algebraic Topology, 2002.

J. Heawood, Map-Colour Theorem, Proceedings of the London Mathematical Society, vol.2, issue.1, pp.332-338, 1890.
DOI : 10.1112/plms/s2-51.3.161

. Heffter, Ueber das Problem der Nachbargebiete, Mathematische Annalen, vol.38, issue.4, pp.477-508, 1891.
DOI : 10.1007/BF01203357

. Kalai, Algebraic shifting, Computational commutative algebra and combinatorics (Osaka, pp.121-163, 1999.

. Kühnel, Manifolds in the Skeletons of Convex Polytopes, Tightness, and Generalized Heawood Inequalities, Polytopes: abstract, convex and computational, pp.241-247, 1993.
DOI : 10.1007/978-94-011-0924-6_11

. Kühnel, Tight polyhedral submanifolds and tight triangulations, Lecture Notes in Mathematics, vol.1612, 1995.
DOI : 10.1007/BFb0096341

T. F. Kühnel and . Banchoff, The 9-vertex complex projective plane, The Mathematical Intelligencer, vol.2, issue.3, pp.11-22, 1983.
DOI : 10.1007/BF03026567

G. Kühnel and . Lassmann, The unique 3-neighborly 4-manifold with few vertices, Journal of Combinatorial Theory, Series A, vol.35, issue.2, pp.173-184, 1983.
DOI : 10.1016/0097-3165(83)90005-5

R. Linial and . Meshulam, Homological Connectivity Of Random 2-Complexes, Combinatorica, vol.26, issue.4, pp.475-487, 2006.
DOI : 10.1007/s00493-006-0027-9

. Lovász, Kneser's conjecture, chromatic number, and homotopy, Journal of Combinatorial Theory, Series A, vol.25, issue.3, pp.319-324, 1978.
DOI : 10.1016/0097-3165(78)90022-5

. Matou?ek, Using the Borsuk-Ulam Theorem, 2003.
DOI : 10.1007/978-3-540-76649-0

N. Meshulam and . Wallach, Homological connectivity of random k-dimensional complexes . Random Structures Algorithms, pp.408-417, 2009.

. Milnor, On spaces having the homotopy type of a CW-complex, Trans. Amer. Math. Soc, vol.90, pp.272-280, 1959.

R. Munkres, Elements of Algebraic Topology, 1984.

. Ringel, Map Color Theorem, Die Grundlehren der mathematischen Wissenschaften, 1974.
DOI : 10.1007/978-3-642-65759-7

R. Van-kampen, Komplexe in euklidischen R??umen, Abhandlungen aus dem Mathematischen Seminar der Universit??t Hamburg, vol.9, issue.1, pp.72-78, 1932.
DOI : 10.1007/BF02940628

. Yu and . Volovikov, On the van Kampen-Flores theorem, Mat. Zametki, vol.59, issue.797, pp.663-670, 1996.

. Wagner, Minors in random and expanding hypergraphs, Proceedings of the 27th annual ACM symposium on Computational geometry, SoCG '11, pp.351-360, 2011.
DOI : 10.1145/1998196.1998256