Extremal-Combinatorics Contents Fragment

Definitions and mathematical statement

Statement unavailable. The supplied record for permanent catalogue entry, source code catalogue entry, contains a table-of-contents fragment rather than a mathematical problem. It begins with the isolated word "conjecture" followed by page number 46, then lists several contributions and a problem session. It supplies no mathematical assertion, definitions, hypotheses, domains, boundary conditions, or quantifiers from which a precise statement can be recovered. No mathematical formulation can therefore be given without adding unsupported information.

The supplied statement status is unrecoverable, and no clean statement is supplied. The registry labels the record "open", but that label does not establish the existence or open status of any identifiable conjecture. The listed contribution titles and authors do not identify the intended target or its proposer.

Short English statement

This record preserves a contents fragment from a 2026 Oberwolfach report. It contains no recoverable mathematical claim. Identifying the intended problem and obtaining its complete statement require human source review; the supplied "open" label is registry metadata.

Sources

• Local UnsolvedMath registry: supplied complete source record, permanent ID 30006537, title "Extremal-Combinatorics Contents Fragment", source code catalogue entry, collection "Oberwolfach Reports Open Problems". The record associates the entry with year 2026 and supplies no proposer.
• Supplied report citation: Combinatorics (2026), Oberwolfach Reports, DOI 10.4171/owr/2026/1, pp. 5--79. Supplied source URL and literature reference, labelled "Oberwolfach Report 2026/1": https://doi.org/10.4171/owr/2026/1. This is report-level provenance; the supplied passage does not identify a complete problem.
• Contents-fragment attribution, retained as context rather than attribution of a conjecture: unidentified "conjecture", p. 46; Jacques Verstraete, joint with Jiaxi Nie, Jeroen Schillewaert, and Chase Wilson, "Independent sets in Hypergraphs", p. 48; Alexey Pokrovskiy, "Bounded diameter monochromatic covers", p. 53; David Conlon, joint with Jacob Fox and Huy Tuan Pham, "Subset sums and their applications", p. 54; Julian Sahasrabudhe, joint with Csongor Beke and Anqi Li, "The multi-colour size Ramsey number of a path", p. 55; Fan Wei, joint with Jacob Fox, Hung Le, and Ruilin Shi, "Local Removal Lemmas", p. 58; Carl Schildkraut, "Ramsey Cayley graphs over non-abelian groups", p. 61; Katherine Staden, joint with Pranshu Gupta, Yanitsa Pehova, and Emil Powierski, "The generalised Erdős-Rothschild problem", p. 64; Nati Linial, joint with Daniel Cizma and Maria Chudnovsky, "Is there Geometry in Totally Discrete Spaces?", p. 67; Nati Linial (Chair), "Problem Session", p. 69.
• Supplied literature assessment, checked on exactly 2026-08-22: status "open"; the exact record is a table-of-contents fragment containing no complete mathematical claim for literature verification. The background identifies the report above as the source checked and describes this assessment as dated literature triage derived from supplied OWR curation. This is supplied dated curation, not independently verified here; time-sensitive status and cited claims require independent verification.
• Supplied statement-verification note: the registry reports that the official report confirms the extraction is a table-of-contents fragment and does not state a problem; it promotes no separate clean statement and retains the original publicly visible record for provenance. This verification claim is supplied metadata, not an independent source inspection performed here.