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arXiv · 2605.01493

On the convex hull of the graph of a simple monomial

Jon Lee·Daphne Skipper·Emily Speakman
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Abstract

Motivated by previous efforts toward mathematically analyzing the treatment of monomials in spatial branch-and-bound, we study the convex hull of the graph of a simple monomial on a nonnegative box domain in arbitrary dimension, where at most one of the variable lower bounds is positive. We give: (i) a description via linear inequalities, and (ii) a formula for the volume.

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Jon Lee, Daphne Skipper, Emily Speakman. 2026-05-02. On the convex hull of the graph of a simple monomial. https://arxiv.org/abs/2605.01493

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