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math.CO2026
A parity Erdős-Hajnal theorem for -intersecting curves
Andrew Suk, Su Zhou
For every fixed , we prove a parity analogue of the mighty Erdős-Hajnal property for -intersecting curves in the plane. Let be a set of blue curves and $\ma…
math.CO2026
Extremal structure in dense arrangements of -intersecting curves
Andrew Suk, Su Zhou
Let be a set of points in the plane, and let be a collection of simple -intersecting curves, meaning that every two distinct curves of meet…