Real Root Conjecture Fails for Five- and Higher-Dimensional Spheres
نویسنده
چکیده
A construction of convex flag triangulations of five and higher dimensional spheres, whose h-polynomials fail to have only real roots, is given. We show that there is no such example in dimensions lower than five. A condition weaker than realrootedness is conjectured and some evidence is provided. Let the f-polynomial fX of a simplicial complex X be defined by the formula fX(t) := ∑
منابع مشابه
fails for five and higher dimensional spheres
A construction of convex flag triangulations of five and higher dimensional spheres, whose h-polynomials fail to have only real roots, is given. We show that there is no such example in dimensions lower than five. A condition weaker than realrootedness is conjectured and some evidence is provided. Let the f-polynomial fX of a simplicial complex X be defined by the formula fX(t): = ∑
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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 34 شماره
صفحات -
تاریخ انتشار 2005