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Computing the Volume of Polytropes
[Submitted on 14 May 2025 (v1), last revised 21 Jul 2026 (this v · 2025-05-15 · via math.CO updates on arXiv.org

This paper has been withdrawn by Paul Sheehan

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Abstract:We apply an algorithm for measuring the volume of polytopes described by Jim Lawrence to polytropes. By using a tropical form of Cramer's rule, we found an efficient way to find all pseudovertices which are necessary for computing the volume. Due to the limited possibilities for hyperplanes of polytropes, this led to a simplification of the algorithm, decreasing the time complexity significantly.

Submission history

From: Paul Sheehan [view email]
[v1] Wed, 14 May 2025 16:39:53 UTC (15 KB)
[v2] Tue, 21 Jul 2026 09:41:31 UTC (1 KB) (withdrawn)