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arXiv · 2512.04610

Weakly-sparse and strongly flip-flat classes of graphs are uniformly almost-wide

Fatemeh Ghasemi·Julien Grange·Mamadou Moustapha Kanté·Florent Madelaine
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Abstract

In this work we take a step towards characterising strongly flip-flat classes of graphs. Strong flip-flatness appears to be the analogue of uniform almost-wideness in the setting of dense classes of graphs. We prove that strongly flip-flat classes of graphs that are weakly sparse are indeed uniformly almost-wide.

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Fatemeh Ghasemi, Julien Grange, Mamadou Moustapha Kanté, Florent Madelaine. 2025-12-04. Weakly-sparse and strongly flip-flat classes of graphs are uniformly almost-wide. https://arxiv.org/abs/2512.04610

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