on a relation between szeged and wiener indices of bipartite graphs
نویسندگان
چکیده
hansen et. al., using the autographix software package, conjectured that the szeged index $sz(g)$ and the wiener index $w(g)$ of a connected bipartite graph $g$ with $n geq 4$ vertices and $m geq n$ edges, obeys the relation $sz(g)-w(g) geq 4n-8$. moreover, this bound would be the best possible. this paper offers a proof to this conjecture.
منابع مشابه
On a Relation between Szeged and Wiener Indices of Bipartite Graphs
Hansen et. al., using the AutoGraphiX software package, conjectured that the Szeged index Sz(G) and the Wiener index W (G) of a connected bipartite graph G with n ≥ 4 vertices and m ≥ n edges, obeys the relation Sz(G) − W (G) ≥ 4n − 8. Moreover, this bound would be the best possible. This paper offers a proof to this conjecture.
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عنوان ژورنال:
transactions on combinatoricsناشر: university of isfahan
ISSN 2251-8657
دوره 1
شماره 4 2013
کلمات کلیدی
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