Abstract
In this paper we define a family of polytopes called Ehrhart Interpolation Polytopes with respect to a given polytope and a parameter corresponding to the dilation of the polytope. We experimentally study the behavior of the number of lattice points in each member of the family, looking for a member with a single lattice point. That single lattice point is the h* vector of the given polytope. Our study is motivated by efficient algorithms for lattice point enumeration.
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Acknowledgments
The second author acknowledges support from the project BAP 2016-A-27 of Gebze Technical University.
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Fisikopoulos, V., Zafeirakopoulos, Z. (2017). Experimental Study of the Ehrhart Interpolation Polytope. In: Blömer, J., Kotsireas, I., Kutsia, T., Simos, D. (eds) Mathematical Aspects of Computer and Information Sciences. MACIS 2017. Lecture Notes in Computer Science(), vol 10693. Springer, Cham. https://doi.org/10.1007/978-3-319-72453-9_26
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DOI: https://doi.org/10.1007/978-3-319-72453-9_26
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