CRT-500.07 Validation of Society for Cardiovascular Angiography and Interventions Classification of Cardiogenic Shock in Critical Care Patients

Let Λ=(V(Λ),E(Λ)) be a graph. The 2-token graph F2(Λ) of Λ is with vertex set all the 2-subsets of V(Λ), a pair of 2-subsets are adjacent if the symmetric difference is exactly in E(Λ). In this paper, it is proved that Z2n−1⋊Aut(Λ)≲Aut(F2(Λ)), where Λ is a Cartesian product of n prime graphs. Then it is shown that the equality may happen by proving that Aut(F2(Qn))≅Z2n−1⋊Aut(Qn), where Qn is the n-dimensional hypercube with n≥3. This also provides some partial answers to [25, Problem 1.3].