On the upper-bound conjecture for convex polytopes
نویسندگان
چکیده
منابع مشابه
On the Generalized Lower Bound Conjecture for Polytopes and Spheres
In 1971, McMullen and Walkup posed the following conjecture, which is called the generalized lower bound conjecture: If P is a simplicial d-polytope then its h-vector (h0, h1, . . . , hd) satisfies h0 ≤ h1 ≤ · · · ≤ h⌊ d2 ⌋. Moreover, if hr−1 = hr for some r ≤ d2 then P can be triangulated without introducing simplices of dimension ≤ d− r. The first part of the conjecture was solved by Stanley ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1971
ISSN: 0095-8956
DOI: 10.1016/0095-8956(71)90042-6