Optimal orientations of subgraphs of complete bipartite graphs

Lakshmi, R.; Rajasekaran, G.; Sampathkumar, R.

doi:10.22108/toc.2015.4725

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	Optimal orientations of subgraphs of complete bipartite graphs
Transactions on Combinatorics
مقاله 2، دوره 4، شماره 1، خرداد 2015، صفحه 19-29 اصل مقاله (246.83 K)
نوع مقاله: National Conference on Labelings and Decompositions of Graphs
شناسه دیجیتال (DOI): 10.22108/toc.2015.4725
نویسندگان
R. Lakshmi¹؛ G. Rajasekaran²؛ R. Sampathkumar^* ³
¹Assistant Professor Department of mathematics Annamalai University Annamalainagar 608002
²Research Scholar, Department of Mathematics, Annamalai University, Annamalainagar 608 002
³Mathematics Section, FEAT, Annamalai University Annamalainagar 6008002
چکیده
For a graph $G,$ let $\mathscr{D}(G)$ be the set of all strong digraphs $D$ obtained by the orientations of $G.$ The orientation number of $G$ is $\stackrel{\rightarrow}{d}\!\!(G)\,=$ min $\{d(D)\,\|\,D\,\in\,\mathscr{D}(G)\},$ where $d(D)$ denotes the diameter of the digraph $D.$ In this paper‎, ‎we determine the orientation number for some subgraphs of complete bipartite graphs‎.
کلیدواژه‌ها
subgraphs of complete bipartite graphs؛ orientation؛ orientation number؛ $Z_2^n$-partition؛ $Z_2^n$-set

مراجع
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Optimal orientations of subgraphs of complete bipartite graphs