{"id":"hexagon/2611.00028","pdf":"https://hexagonmath.org/pdf/2611.00028v1","url":"https://hexagonmath.org/abs/2611.00028v1","tags":["msc:05C38","msc:05C35","msc:05C45","Hilton’s conjecture"],"score":0,"title":"Hilton’s conjecture on cycle multiplicities","domain":"math.CO","origin":"ai-generated","source":"hexagon","authors":["Qiyue Tang"],"reviews":0,"subject":"math.CO","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-11-03","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}