relation between wiener, szeged and detour indices
نویسندگان
چکیده
in theoretical chemistry, molecular structure descriptors are used to compute properties of chemical compounds. among them wiener, szeged and detour indices play significant roles in anticipating chemical phenomena. in the present paper, we study these topological indices with respect to their difference number.
منابع مشابه
Relation Between Wiener, Szeged and Detour Indices
In theoretical chemistry, molecular structure descriptors are used to compute properties of chemical compounds. Among them Wiener, Szeged and detour indices play significant roles in anticipating chemical phenomena. In the present paper, we study these topological indices with respect to their difference number.
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Let G be a connected graph and let μ(G) = DD(G) − W (G), where DD(G) and W (G) stand for the detour and Wiener numbers of G, respectively. Nadjafi-Arani et al. [Math. Comput. Model. 55 (2012), 1644– 1648] classified connected graphs whose difference between Szeged and Wiener numbers are n, for n = 4, 5. In this paper, we continue their work to prove that for any positive integer n = 1, 2, 4, 6 ...
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متن کاملOn 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.
متن کاملon 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 $n geq 4$ 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.
متن کاملThe Wiener, Szeged, and PI Indices of a Dendrimer Nanosta
Let G= V E be a simple connected graph. The distance between two vertices of G is defined to be the length of the shortest path between the two vertices. There are topological indices assigned to G and based on the distance function which are invariant under the action of the automorphism group of G. Some important indices assigned to G are the Wiener, Szeged, and PI index which we will find th...
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عنوان ژورنال:
iranian journal of mathematical chemistryناشر: university of kashan
ISSN 2228-6489
دوره 5
شماره Supplement 1 2014
کلمات کلیدی
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