On the Number of Integer Points in Translated and Expanded Polyhedra

Author:

Nguyen DannyORCID,Pak Igor

Funder

National Science Foundation

University of California, Los Angeles

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference37 articles.

1. Alhajjar, E.: A new valuation on lattice polytopes. PhD thesis, George Mason University (2017)

2. Aliev, I., De Loera, J.A., Louveaux, Q.: Parametric polyhedra with at least $$k$$ lattice points: their semigroup structure and the $$k$$-Frobenius problem. In: Beveridge, A., et al. (eds.) Recent Trends in Combinatorics. The IMA Volumes in Mathematics and Its Applications, vol. 159, pp. 753–778. Springer, Cham (2016)

3. Aliev, I., Henk, M., Linke, E.: Integer points in knapsack polytopes and $$s$$-covering radius. Electron. J. Comb. 20(2), 42 (2013)

4. Arora, S., Barak, B.: Computational Complexity: A Modern Approach. Cambridge University Press, Cambridge (2009)

5. Baldoni, V., Berline, N., De Loera, J.A., Köppe, M., Vergne, M.: Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra. Found. Comput. Math. 12(4), 435–469 (2012)

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