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arXiv · 2503.07925

Generalizations of Total Dual Integrality

Bertrand Guenin·Levent Tunçel
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Abstract

We design new tools to study variants of Total Dual Integrality. As an application, we obtain a geometric characterization of Total Dual Integrality for the case where the associated polyhedron is non-degenerate. We also give sufficient conditions for a system to be Totally Dual Dyadic, and prove new special cases of Seymour's Dyadic conjecture on ideal clutters.

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Bertrand Guenin, Levent Tunçel. 2025-03-11. Generalizations of Total Dual Integrality. https://arxiv.org/abs/2503.07925

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