Sharp lower bounds for depth(S/I(G^c)), depth(S/I(G^c)^2), and depth(S/I(G^c)^{(2)}) are established in terms of n and κ(G).
Rauf, Depth and Stanley depth of multigraded modules,Comm
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Depth of edge ideals and vertex connectivity of finite graphs
Sharp lower bounds for depth(S/I(G^c)), depth(S/I(G^c)^2), and depth(S/I(G^c)^{(2)}) are established in terms of n and κ(G).