A network element implementing Multiprotocol Label Switching to automatically create an optimal deterministic back-up Label Switch Path (LSP) (109) that is maximally disjointed from a primary LSP (107) to provide a reliable back up to the primary LSP (107). The network element receives a request for a generation of an LSP, determines that the request for the generation of the LSP is for the back-up LSP (109), locates each Sink of the primary LSP (107) in a traffic engineering database, modifies each link of the primary LSP (107) to have a link cost significantly greater than an actual link cost to discourage use of each link of the primary LSP (107) in the back-up LSP (109), executes a Constrained Shortest Path First algorithm to obtain the back-up LSP (109), wherein the back-up LSP (109) has a maximum disjointedness from the primary LSP (107) due to a modified cost of each link of the primary LSP (107) and retains the back-up LSP (109)
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