منابع مشابه
Steiner Wiener Index of Graph Products
The Wiener index W (G) of a connected graph G is defined as W (G) = ∑ u,v∈V (G) dG(u, v) where dG(u, v) is the distance between the vertices u and v of G. For S ⊆ V (G), the Steiner distance d(S) of the vertices of S is the minimum size of a connected subgraph of G whose vertex set is S. The k-th Steiner Wiener index SWk(G) of G is defined as SWk(G) = ∑ S⊆V (G) |S|=k d(S). We establish expressi...
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the wiener index $w(g)$ of a connected graph $g$ is defined as $w(g)=sum_{u,vin v(g)}d_g(u,v)$ where $d_g(u,v)$ is the distance between the vertices $u$ and $v$ of $g$. for $ssubseteq v(g)$, the {it steiner distance/} $d(s)$ of the vertices of $s$ is the minimum size of a connected subgraph of $g$ whose vertex set is $s$. the {it $k$-th steiner wiener index/} $sw_k(g)$ of $g$ ...
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The Wiener index W(G) of a connected graph G is defined as the sum of the distances between all unordered pairs of vertices of G. The eccentricity of a vertex v in G is the distance to a vertex farthest from v. In this paper we obtain the Wiener index of a graph in terms of eccentricities. Further we extend these results to the self-centered graphs.
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ژورنال
عنوان ژورنال: AKCE International Journal of Graphs and Combinatorics
سال: 2020
ISSN: 0972-8600,2543-3474
DOI: 10.1016/j.akcej.2019.11.001