Problems

For m, r nonnegative integers, P_(m^r)(q,t)=∑_substackλ ⊂(m^r) 2-core(λ)=0f_λ(q^-m,q^r/T;q,t)tildeK_(m^r)-λ(q,t,T;± q^1/2,± t^1/2) and for m, r, n nonnegative integers such that r \leq n, P_(m^r)(x^±;q,t)=∑_substackλ ⊂(m^r)…

Let m ≥ 3 be an integer, and let Γ be a graph coprime to K_m such that Aut(Γ) ≠ 1. If Γ is connected and R-thin, then (Γ, K_m) is stable.