“…Under this model, we setup local backup paths that provide protection against the failure of a single network element, either a node or a link. Towards this end, we recollect the definitions of the two types of backup paths from [1] and [7]. Definition 1: A next-hop path that spans a link (i, j) 3 is a backup path which: a) originates at node i, b) merges with the primary LSP(s) at node j, and c) is activated only when {i, j} fails providing protection for one or more primary LSPs that traverse (i, j) and terminate at node j.…”