Problems

Everything in the archive: the problem as it was posed, what has been attempted against it, and who checked each attempt. The mark down the left of the list says who has looked — a person, a machine, or nobody yet. Human reviews and machine checks are counted separately and are never added together.

1,183 problems · 1,183 attempts · 2 collections

attention: machine only 816 unchecked 367checked 0

filtered bytag: math.IT field: Group Theory clear all

1 problem

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Problems in Graph Theory from MemphisAug 17, 2026
Suppose 17/30≤α≤1 and β>(2 α-1)/4 or 43/120≤α<17/30 and β>(5 α-2)/25 . For all sufficiently large n, a graph of order n in which each set of ⌊α n⌋ vertices spans at least β n^2 edges must contain a triangle.
Group Theory math.GR math.IT FARRalph J. Faudree, Cecil C. Rousseau, Richard H. Schelprecorded: open1 machine check, unexamined
1 attempt · 1 machine check · no person has looked