کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4647698 | 1342368 | 2012 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fair domination in graphs
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
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چکیده انگلیسی
A fair dominating set in a graph GG (or FD-set) is a dominating set SS such that all vertices not in SS are dominated by the same number of vertices from SS; that is, every two vertices not in SS has the same number of neighbors in SS. The fair domination number, fd(G), of GG is the minimum cardinality of an FD-set. Among other results, we show that if GG is a connected graph of order n≥3n≥3 with no isolated vertex, then fd(G)≤n−2, and we construct an infinite family of connected graphs achieving equality in this bound. We show that if GG is a maximal outerplanar graph, then fd(G)<17n/19. If TT is a tree of order n≥2n≥2, then we prove that fd(T)≤n/2 with equality if and only if TT is the corona of a tree.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 312, Issue 19, 6 October 2012, Pages 2905–2914
Journal: Discrete Mathematics - Volume 312, Issue 19, 6 October 2012, Pages 2905–2914
نویسندگان
Yair Caro, Adriana Hansberg, Michael Henning,