algebra / Group theory

Kourovka Problem 21.24 - Cograph Power Graphs Are Chordal

If the power graph of a finite group contains no induced path on four vertices, must it also contain no induced cycle of length at least four - that is, is every cograph power graph chordal?

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algebraJul 20, 2026Significance 13/100Registry: lean verified

Kourovka Problem 21.24 - Cograph Power Graphs Are Chordal

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If the power graph of a finite group contains no induced path on four vertices, must it also contain no induced cycle of length at least four - that is, is every cograph power graph chordal?

Source authenticatedKourovka Problem 21.24 - Cograph Power Graphs Are Chordal →

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If the power graph of a finite group contains no induced path on four vertices, must it also contain no induced cycle of length at least four - that is, is every cograph power graph chordal?

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