A robust OR polynomial yields Schrijver quasi-tensorization ϑ'(⊠Gi)≤∏ϑ'(Gi)^{C log r log ϑ'(Gi)} and improves Rr(k) to exp(−Ω(k/(r^9(log r)^6))) r^{rk}.
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Schrijver Number Quasi-Tensorization and Multicolor Ramsey Bounds via Robust OR Polynomials
A robust OR polynomial yields Schrijver quasi-tensorization ϑ'(⊠Gi)≤∏ϑ'(Gi)^{C log r log ϑ'(Gi)} and improves Rr(k) to exp(−Ω(k/(r^9(log r)^6))) r^{rk}.