Abstract
Connectivity is an important parameter for evaluating the reliability and stability of an interconnection network. Based on the edge connectivity, more refined connectivities have been proposed. The [Formula: see text]-component edge connectivity [Formula: see text] and the [Formula: see text]-extra edge connectivity [Formula: see text] are two important parameters to assess the robustness of an interconnection network, which received attention extensively. In this paper, we determine the [Formula: see text]-component edge connectivity and the [Formula: see text]-extra edge connectivity of bubble-sort star graphs [Formula: see text]. For [Formula: see text]-component edge connectivity, we prove that [Formula: see text], [Formula: see text], and [Formula: see text] for [Formula: see text]. For [Formula: see text]-extra edge connectivity, we prove that [Formula: see text], [Formula: see text], and [Formula: see text] for [Formula: see text].
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