Integer decomposition property of polytopes
The electronic journal of combinatorics, Tome 31 (2024) no. 1
We study the integer decomposition property of lattice polytopes associated with the $n$-dimensional smooth complete fans with at most $n+3$ rays. Using the classification of smooth complete fans by Kleinschmidt and Batyrev and a reduction to lower dimensional polytopes we prove the integer decomposition property for lattice polytopes in this setting.
DOI :
10.37236/10582
Classification :
52B20, 51M20, 52B11, 52B12
Mots-clés : polytope, integer programming, lattice polytope, integer decomposition property
Mots-clés : polytope, integer programming, lattice polytope, integer decomposition property
Affiliations des auteurs :
Sharon Robins  1
@article{10_37236_10582,
author = {Sharon Robins},
title = {Integer decomposition property of polytopes},
journal = {The electronic journal of combinatorics},
year = {2024},
volume = {31},
number = {1},
doi = {10.37236/10582},
zbl = {1542.52012},
url = {http://geodesic.mathdoc.fr/articles/10.37236/10582/}
}
Sharon Robins. Integer decomposition property of polytopes. The electronic journal of combinatorics, Tome 31 (2024) no. 1. doi: 10.37236/10582
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