The six-times-linear wheel Ramsey conjecture

Let W2nW_{2n} be the wheel on 2n+12n+1 vertices, and let R(W2n)=R(W2n,W2n)R(W_{2n})=R(W_{2n},W_{2n}) denote the diagonal Ramsey number for two copies of this wheel. Six-times-linear wheel conjecture.

R(W2n)(6+o(1))n.R(W_{2n})\leq (6+o(1))n.

Improving the paper’s trivial bound through cycle–wheel Ramsey numbers would sharpen the understanding of diagonal wheel Ramsey numbers; the supplied text gives no resolution.

Sources & referencesView supporting material

Primary source

Louis DeBiasio and Tucker Wimbish, “On the Ramsey numbers of wheels, cycles, and stars”, arXiv:2604.11937 (2026).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.