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math.CO2025
Hilbert basis in the face-centered cubic grid -- mathematical proofs
Bela Vizvari, Gergely Kovacs, Benedek Nagy +1
The Hilbert basis is fundamental in describing the structure of the integer points of a polyhedral cone. The face-centered cubic grid is one of the densest packing of the 3-dimensi…
math.OC2025
Open Loop Layout Optimization: Feasible Path Planning and Exact Door-to-Door Distance Calculation
Seyed Mahdi Shavarani, Bela Vizvari, Kovacs Gergely
The Open Loop Layout Problem (OLLP) seeks to position rectangular cells of varying dimensions on a plane without overlap, minimizing transportation costs computed as the flow-weigh…