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Problems / combinatorics

combinatorics / Graph theory

Albertson–Berman Induced Forest Conjecture

The ratio 15/31 is not claimed to be optimal, and the paper makes no claim that 31 vertices is the smallest possible counterexample. The construction produces separating triangles by design, so it says nothing about the 4-connected case.

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combinatoricsAug 11, 2026Significance 30/100Registry: site confirmed

Albertson–Berman Induced Forest Conjecture

Prior state unknown→disproved

The ratio 15/31 is not claimed to be optimal, and the paper makes no claim that 31 vertices is the smallest possible counterexample. The construction produces separating triangles by design, so it says nothing about the 4-connected case.

Source authenticatedAlbertson–Berman Induced Forest Conjecture →
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The ratio 15/31 is not claimed to be optimal, and the paper makes no claim that 31 vertices is the smallest possible counterexample. The construction produces separating triangles by design, so it says nothing about the 4-connected case.

The ratio 15/31 is not claimed to be optimal, and the paper makes no claim that 31 vertices is the smallest possible counterexample. The construction produces separating triangles by design, so it says nothing about the 4-connected case.

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