Truncated Extremal-Graph-Theory Conjecture

Definitions and mathematical statement

The supplied record for permanent UnsolvedMath ID $30006150$, source code catalogue entry, contains the following text:

conjecture. The report passage is retained verbatim as the relevant context for this extracted problem.

No mathematical objects, definitions, hypotheses, domains, boundary conditions, quantifiers, or conclusion can be recovered from this text. Consequently, no precise mathematical assertion can be stated from the supplied evidence. The title "Truncated Extremal-Graph-Theory Conjecture" does not supply the missing assertion.

The supplied statement status is unrecoverable, and no clean statement is provided. The supplied verification note reports that the official report confirms an isolated conjecture label with no independently recoverable mathematical statement; this is a source-provided verification claim, not an independent verification here. The supplied classification open follows an uncertainty rule for an unidentified assertion and does not establish the mathematical status of any particular conjecture.

Short English statement

This record preserves an isolated conjecture label and provenance, but no identifiable mathematical problem. A statement requires recovery of the missing source passage and human mathematical review. The supplied "open" label records uncertainty rather than a verified open conjecture.

Sources

• Local UnsolvedMath registry: data/unsolvedmath/problems.json, with catalog/problems.json as the additional-record registry; permanent ID $30006150$, exact source code catalogue entry. The supplied record belongs to the Oberwolfach Reports Open Problems collection and the Graph Theory category.
• Supplied report citation: Graph Theory (2025), Oberwolfach Reports, pp. 5--74, DOI 10.4171/owr/2025/1. Source URL: https://doi.org/10.4171/owr/2025/1. The background describes these reports as documenting mathematical workshops and their open-problem discussions.
• Supplied literature reference: "Oberwolfach Report 1/2025", https://doi.org/10.4171/owr/2025/1. The literature assessment dated 2026-08-22 is supplied dated curation, not independently verified here. It classifies the record as open under an uncertainty rule because the extraction contains only the word "conjecture" and no identifiable mathematical assertion. The background requests independent verification of time-sensitive status and cited claims.
• Attribution: no proposer is supplied. The registry gives a proposed year of 2025, but the supplied evidence does not identify an individual conjecture or establish its authorship. The supplied statement-verification note says that no separate clean statement is promoted and that the original record remains publicly visible for provenance.