Stefán's circular-flow infimum conjecture for odd-regular class 2 graphs

About 6 years old · traced to

Let tt be a positive integer, and let Φ(2)(2t+1)\Phi^{(2)}(2t+1) denote the infimum of ϕc(G)\phi_c(G) over all (2t+1)(2t+1)-regular class 22 graphs GG, where ϕc(G)\phi_c(G) is the circular flow number.

Stefán's circular-flow infimum conjecture.

Φ(2)(2t+1)=2+22t−1.\Phi^{(2)}(2t+1)=2+\frac{2}{2t-1}.

The source explicitly states that this conjecture is proved in the paper, so the claim is resolved.

References

Primary source

Davide Mattiolo and Eckhard Steffen, “Edge colorings and circular flows on regular graphs”, arXiv:2001.02484 (2020).

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.