Abstract
An outer-connected dominating set in a graph G=(V,E) is a set S⊆V such that each vertex not in S is adjacent to at least one vertex in S and the subgraph induced by V∖S is connected. In Keil and Pradhan (2013) [6], Keil and Pradhan gave a linear-time algorithm for finding a minimum outer-connected dominating set in a proper interval graph. In this paper, we generalize their result to find a minimum outer-connected dominating set in an interval graph in linear time.
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