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This is a Quantitative Study study.

October 17, 2025Journal of the London Mathematical SocietyOpen Access

Tight bounds for intersection‐reverse sequences, edge‐ordered graphs, and applications

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Optimal bounds for intersection-reverse sequences are established, enhancing previous logarithmic factors.
Research resolves a problem from 2006 regarding self-crossing four-cycles in topological graphs, verifying edge conditions.
New bounds on point-circle incidences are derived, enhancing understanding of geometric problems linked to pseudo-circles.
A disproof of the conjecture related to edge-ordered forests highlights limitations in expected extremal numbers.

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Implication

Research improves bounds for intersection-reverse sequences in edge-ordered graphs, highlighting significant implications for Discrete Geometry and Extremal Graph Theory.

Cite This Study

Janzer et al. (2025) studied this question.

synapsesocial.com/papers/68f199bfde32064e504dcbc1 https://doi.org/10.1112/jlms.70324

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Implication

Research improves bounds for intersection-reverse sequences in edge-ordered graphs, highlighting significant implications for Discrete Geometry and Extremal Graph Theory.

Tight bounds for intersection‐reverse sequences, edge‐ordered graphs, and applications

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Implication

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Tight bounds for intersection‐reverse sequences, edge‐ordered graphs, and applications

Key Points

Discussion

Implication

Cite This Study

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