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arxiv: 1201.1728 · v3 · pith:X6BYJXDVnew · submitted 2012-01-09 · 🧮 math.CO · cs.IT· math.IT

Worst-case efficient dominating sets in digraphs

classification 🧮 math.CO cs.ITmath.IT
keywords digraphsdominatingefficientgraphssetsfactstarworst-case
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Let $1\le n\in\Z$. {\it Worst-case efficient dominating sets in digraphs} are conceived so that their presence in certain strong digraphs $\vec{ST}_n$ corresponds to that of efficient dominating sets in star graphs $ST_n$: The fact that the star graphs $ST_n$ form a so-called dense segmental neighborly E-chain is reflected in a corresponding fact for the digraphs $\vec{ST}_n$. Related chains of graphs and open problems are presented as well.

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