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Independent domination in directed graphs | ||
Communications in Combinatorics and Optimization | ||
مقاله 6، دوره 6، شماره 1، شهریور 2021، صفحه 67-80 اصل مقاله (396.24 K) | ||
نوع مقاله: Original paper | ||
شناسه دیجیتال (DOI): 10.22049/cco.2020.26845.1149 | ||
نویسندگان | ||
Michael Cary* 1؛ Jonathan Cary2؛ Savari Prabhu3 | ||
1West Virginia University | ||
2Virginia Commonwealth University | ||
3Department of Mathematics, Sri Venkateswara College of Engineering | ||
چکیده | ||
In this paper we initialize the study of independent domination in directed graphs. We show that an independent dominating set of an orientation of a graph is also an independent dominating set of the underlying graph, but that the converse is not true in general. We then prove existence and uniqueness theorems for several classes of digraphs including orientations of complete graphs, paths, trees, DAGs, cycles, and bipartite graphs. We also provide the idomatic number for special cases of some of these families of digraphs. | ||
کلیدواژهها | ||
dominating set؛ independent set؛ independent domination؛ independent dominating set؛ idomatic number | ||
مراجع | ||
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