On the Maximal Eccentric Distance Sums of Graphs
نویسندگان
چکیده
منابع مشابه
The eccentric-distance sum of some graphs
Let G = (V,E) be a simple connected graph. The eccentric-distance sum of G is defined as ξ(G) = ∑ {u,v}⊆V (G) [e(u) + e(v)]d(u, v), where e(u) is the eccentricity of the vertex u in G and d(u, v) is the distance between u and v. In this paper, we establish formulae to calculate the eccentric-distance sum for some graphs, namely wheel, star, broom, lollipop, double star, friendship, multi-star g...
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For a given graph G, ε(v) and deg(v) denote the eccentricity and the degree of the vertex v in G, respectively. The adjacent eccentric distance sum index of a graph G is defined as [Formula in text], where [Formula in text] is the sum of all distances from the vertex v. In this paper we derive some bounds for the adjacent eccentric distance sum index in terms of some graph parameters, such as i...
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ژورنال
عنوان ژورنال: ISRN Applied Mathematics
سال: 2011
ISSN: 2090-5564,2090-5572
DOI: 10.5402/2011/421456