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Total outer-convex domination number of graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 6، دوره 7، شماره 1، شهریور 2022، صفحه 59-68 اصل مقاله (521.55 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2021.27141.1203 | ||
| نویسندگان | ||
| Rubelyn Yangyang؛ Marylin Tarongoy؛ Evangelyn Revilla؛ Rona Mae Banlasan؛ Jonecis A Dayap* | ||
| University of San Jose-Recoletos | ||
| چکیده | ||
| In this paper, we initiate the study of total outer-convex domination as a new variant of graph domination and we show the close relationship that exists between this novel parameter and other domination parameters of a graph such as total domination, convex domination, and outer-convex domination. Furthermore, we obtain general bounds of total outer-convex domination number and, for some particular families of graphs, we obtain closed formulas. | ||
| کلیدواژهها | ||
| Domination number؛ total domination number؛ convex domination؛ total outer-convex domination number؛ grid graphs | ||
| مراجع | ||
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[11] Z. Shao, S. Kosari, R. Anoos, S.M. Sheikholeslami, and J.A. Dayap, Outer-convex dominating set in the corona of graphs as encryption key generator, Complexity 2020 (2020), Article ID. 8316454. | ||
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