Unspecified Extremal Combinatorics Conjecture

Definitions and mathematical statement

Unrecoverable mathematical statement. The supplied record for permanent UnsolvedMath ID $30005332$, source code catalogue entry, contains an incomplete table-of-contents fragment, rather than a mathematical assertion. It begins with the isolated word "conjecture" and page number $21$, followed by several distinct talk titles and author lists. No hypotheses, domains, definitions, quantifiers, boundary conditions, or conclusion identify a particular problem. Consequently, no precise mathematical statement or associated definitions can be recovered from the supplied evidence.

The registry title "Unspecified Extremal Combinatorics Conjecture" does not supply the missing assertion. The record has statement_status: unrecoverable and no clean statement. Its supplied verification note reports that the official report contains an incomplete table-of-contents fragment, that no separate clean statement is promoted, and that the original record remains publicly visible for provenance. This is a supplied verification claim, not an independent verification performed for this draft.

The registry labels the record "open." Its dated assessment explains that this classification reflects the absence of a complete mathematical assertion whose resolution could be assessed; it does not establish that a specified conjecture is mathematically open. The intended problem and its attribution remain unresolved. The report citation and the dated literature-source link also identify different reports, as recorded below.

Short English statement

The supplied text is an incomplete list of talks and contributors, so it does not determine a mathematical problem. Recovering a precise statement requires identifying the intended report passage and its full assertion. The supplied "open" label records a curation decision about this incomplete extraction, not a verified open conjecture.

Sources

• Supplied local UnsolvedMath registry record: permanent ID $30005332$, source code catalogue entry, title "Unspecified Extremal Combinatorics Conjecture," in the "Oberwolfach Reports Open Problems" collection, category "Combinatorics." The supplied proposed year is $2023$; no proposer is specified.
• Supplied report citation: Combinatorics (2023), Oberwolfach Reports, DOI 10.4171/owr/2023/1, pp. 5--89. Supplied source URL: https://doi.org/10.4171/owr/2023/1. The background describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions. This report attribution does not identify a recoverable assertion in the supplied fragment.
• Fragment attribution, preserved as talk metadata rather than attribution of a particular conjecture: an unidentified preceding entry ends with "conjecture," p. 21; Noam Lifshitz (joint with Peter Keevash and Dor Minzer), "Product free sets in groups," p. 24; Uli Wagner (joint with Anna Lubiw, Zuzana Masárová, and Emo Welzl), "The space of triangulations of a planar point set," p. 28; Shoham Letzter (joint with Gal Kronenberg, Alexey Pokrovskiy, and Liana Yepremyan), "Decomposing cubic graphs into linear forests," p. 30; David Munhá Correia (joint with Stefan Glock and Benny Sudakov), "Hamilton cycles in pseudorandom graphs," p. 33; Matthew Kwan (joint with Margalit Glasgow, Ashwin Sah, and Mehtaab Sawhney), "The Exact Rank of Sparse Random Graphs," p. 37; Michael Krivelevich (joint with Sahar Diskin, Ilay Hoshen, and Maksim Zhukovskii), "On vertex Ramsey graphs with forbidden subgraphs," p. 41; Matija Bucić (joint with "Pablo Blanco and Tung Nguyen, Alex Scott and Paul Seymour," retaining the supplied grouping), "Towards the Erdős--Hajnal Conjecture," p. 41; István Tomon (joint with János Nagy, Péter Pál Pach), "Hyperplane covers of finite spaces," p. 44. The supplied record states that this report passage is retained verbatim as context for the extraction.
• Supplied literature source, labelled "original OWR report": https://doi.org/10.4171/owr/2022/57. This differs from the report DOI in the source citation; the intended provenance is unresolved.
• Literature assessment date: 2026-08-22. This is supplied dated curation, not independently verified. The assessment classifies the record as open because the extraction is a table-of-contents fragment without a complete mathematical assertion, so no claim can be shown solved or disproved from that extraction. The supplied background requests independent verification of time-sensitive status and cited claims. An authoritative report reference is supplied, but no authoritative citation identifying a complete intended problem is supplied.