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math.CO 1

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2026 1

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A parity Erd\H{o}s-Hajnal theorem for $t$-intersecting curves

math.CO · 2026-06-10 · unverdicted · novelty 7.0

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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  • A parity Erd\H{o}s-Hajnal theorem for $t$-intersecting curves math.CO · 2026-06-10 · unverdicted · none · ref 5

    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.