Séminaire Lotharingien de Combinatoire, 93B.99 (2025), 11 pp.
Juliana Curtis
The Integer Decomposition Property in Smooth Polytopes
Abstract.
Tadao Oda conjectured that every smooth polytope, in any dimension, has the Integer Decomposition Property.
In this paper, we show this result for subclasses of polytopes: smooth combinatorial cubes of any dimension and 3-dimensional pseudo-prisms.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
The following versions are available: