Systems and methods are disclosed for determining shared risk link group (SRLG) disjoint paths in a communications network. An original graph representing the communications network can be obtained. The original graph can include vertices and edges corresponding to nodes and communication links in the communication network. The vertices can include a source vertex and a target vertex and each edge can be associated with a set of SRLGs A reduced graph can be generated from the original graph. Generation of the reduced graph can include identification of a first edge of the edges as a dominating edge and removal of the first edge. Two SRLG-disjoint paths can then be identified on the reduced graph.