Extraconnectivity of hypercubes

Given a graph GG and a non-negative integer g, the g  -extraconnectivity of GG (written κg(G)κg(G)) is the minimum cardinality of a set of vertices of GG, if it exists, whose deletion disconnects GG, and where every remaining component has more than gg vertices. The usual connectivity and superconnectivity of GG correspond to κ0(G)κ0(G) and κ1(G)κ1(G), respectively. In this work, we determine κg(Qn)κg(Qn) for 0≤g≤n0≤g≤n, n≥4n≥4, where QnQn denotes the nn-dimensional hypercube.