In one embodiment, a method comprises a path computation device receiving device information from member network devices, each member network device belonging to a directed acyclic graph to a destination in a low power lossy network; and the path computation device classifying each member network device belonging to a directed acyclic graph as belonging to a dominating set, for generation of optimized routes distinct from any directed acyclic graph, for reaching any one of the member network devices of the dominating set.
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