Proves a parity Erdős-Hajnal theorem for t-intersecting curves, recovering the t=1 case and yielding an n(log n)^{O_t(log k)} edge bound for topological graphs with no k edges that pairwise cross oddly.
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2026 1verdicts
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A parity Erd\H{o}s-Hajnal theorem for $t$-intersecting curves
Proves a parity Erdős-Hajnal theorem for t-intersecting curves, recovering the t=1 case and yielding an n(log n)^{O_t(log k)} edge bound for topological graphs with no k edges that pairwise cross oddly.