On locating-domination in graphs
نویسندگان
چکیده
A set D of vertices in a graph G = (V, E) is a locating-dominating set (LDS) if for every two vertices u, v of V − D the sets N(u) ∩ D and N(v) ∩ D are non-empty and different. The locating-domination number γL(G) is the minimum cardinality of a LDS of G, and the upper locating-domination number, ΓL(G) is the maximum cardinality of a minimal LDS of G. We present different bounds on ΓL(G) and γL(G).
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عنوان ژورنال:
- Discussiones Mathematicae Graph Theory
دوره 30 شماره
صفحات -
تاریخ انتشار 2010