A Bound on Local Minima of Arrangements that Implies the Upper Bound Theorem.
Discrete & computational geometry, Tome 10 (1993) no. 2, pp. 427-434.

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Mots-clés : dual linear program, upper bound theorem, arrangement of hyperplanes, convex polytopes
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     author = {K.L. Clarkson},
     title = {A {Bound} on {Local} {Minima} of {Arrangements} that {Implies} the {Upper} {Bound} {Theorem.}},
     journal = {Discrete & computational geometry},
     pages = {427--434},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {1993},
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K.L. Clarkson. A Bound on Local Minima of Arrangements that Implies the Upper Bound Theorem.. Discrete & computational geometry, Tome 10 (1993) no. 2, pp. 427-434. http://geodesic.mathdoc.fr/item/DCG_1993__10_2_131283/