Worst-case efficient dominating sets in digraphs

Abstract

Let 1 n∈. Worst-case efficient dominating sets in digraphs are conceived so that their presence in certain strong digraphs STn corresponds to that of efficient dominating sets in star graphs STn: The fact that the star graphs STn form a so-called dense segmental neighborly E-chain is reflected in a corresponding fact for the digraphs STn. Related chains of graphs and open problems are presented as well.

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