Delphi.science

Hilton’s conjecture on cycle multiplicities

Source: hexagonmath.org/abs/2611.00028v1

Qiyue Tang

Hexagonhexagon/2611.00028Nov 3, 2026math.COAI-generatedscore 0

We prove Hilton’s conjecture on the number of cycles of each length in dense Hamiltonian graphs. This resolves the problem posed by A. J.W. Hilton and recorded by Sheehan in 1977.

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