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Bounds for metric dimension and defensive $k$-alliance of graphs under deleted lexicographic product | ||
| Transactions on Combinatorics | ||
| مقاله 3، دوره 9، شماره 1، خرداد 2020، صفحه 31-39 اصل مقاله (292.58 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2019.115674.1622 | ||
| نویسندگان | ||
| Kinkar Chandra Das1؛ Mostafa Tavakoli* 2 | ||
| 1Sungkyunkwan University | ||
| 2Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad | ||
| چکیده | ||
| Metric dimension and defensive $k$-alliance number are two distance-based graph invariants which have applications in robot navigation, quantitative analysis of secondary RNA structures, national defense and fault-tolerant computing. In this paper, some bounds for metric dimension and defensive $k$-alliance of deleted lexicographic product of graphs are presented. We also show that the bounds are sharp. | ||
| کلیدواژه‌ها | ||
| Deleted lexicographic product؛ Metric dimension؛ Defensive k-alliance | ||
| مراجع | ||
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