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Distance in graphs

Fred Buckley, +1 more
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The article was published on 1990-01-01 and is currently open access. It has received 1185 citations till now. The article focuses on the topics: Graph theory & Convexity.

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Status connectivity indices of graphs and its applications to the boiling point of benzenoid hydrocarbons

TL;DR: In this article, the authors defined the first and second status connectivity indices of a graph G as $$S_{1}(G) = \sum olimits _{uv \in E(G)}[Sigma (u)+ \sigma (v)]$$¯¯ and $$S{2} (G)
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Proximity and average eccentricity of a graph

TL;DR: It was conjectured by Aouchiche and Hansen (2011) that for any connected graph G on n>=3 vertices, ecc(G)-@p(G)=
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On the wiener index of a graph

TL;DR: Indeks Weiner dari suatu graf G, yang dinotasikan dengan W(G), adalah jumlahan jarak antara semua pasangan (tak terurut) dari titik-titik G.

On Harary Matrix, Harary Index and Harary Energy

TL;DR: In this paper, some results about eigenvalues of Harary matrix are obtained, then by these results, some bounds of HarARY index are obtained.
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Node‐disjoint paths and related problems on hierarchical cubic networks

TL;DR: A maximal number of node‐disjoint paths are constructed between every two distinct nodes of the HCN(n), and their maximal length is bounded above by n + ⌊n/3⌋ + 4, which is nearly optimal.