Products of Foldable Triangulations

Details Products of Foldable Triangulations Products of Foldable Triangulations

2005-08-10

arxiv.org/abs/math/0508180v3

Mathematics

Combinatorics

new title; several paragraphs reformulated; 23 pages

Scientific paper

Regular triangulations of products of lattice polytopes are constructed with the additional property that the dual graphs of the triangulations are bipartite. The (weighted) size difference of this bipartition is a lower bound for the number of real roots of certain sparse polynomial systems by recent results of Soprunova and Sottile [Adv. Math. 204(1):116-151, 2006]. Special attention is paid to the cube case.

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