Abstract
In this work, we propose Maximal-2-Packing-Halin, a distributed algorithm that finds a maximal 2-packing set in undirected non-geometric Halin graphs of order n in linear time. First, this algorithm finds an external face of the input graph through the application of graph-reduction rules. Second, each vertex determines if it belongs to a maximal 2-packing set by applying a set of vertex-coloring rules.
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