The quotients between the (revised) Szeged index and Wiener index of graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 Let $Sz(G),Sz^*(G)$ and $W(G)$ be the Szeged index, revised Szeged index and Wiener index of a graph $G.$ In this paper, the graphs with the fourth, fifth, sixth and seventh largest Wiener indices among all unicyclic graphs of order $n\geqslant 10$ are ...
Huihui Zhang, Jing Chen, Shuchao Li
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The symmetric division Szeged index: A novel tool for predicting physical and chemical properties of complex networks [PDF]
HeliyonThis paper introduces a novel graph invariant, the symmetric division Szeged index (SDZ), which generalizes earlier concepts by focusing on vertices positioned closer to an edge's endpoints rather than vertex degrees.
Modjtaba Ghorbani +3 more
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Five results on maximizing topological indices in graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 In this paper, we prove a collection of results on graphical indices. We determine the extremal graphs attaining the maximal generalized Wiener index (e.g. the hyper-Wiener index) among all graphs with given matching number or independence number.
Stijn Cambie
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Szeged-type indices of subdivision vertex-edge join (SVE-join)
Main Group Metal Chemistry, 2021 In this article, we compute the vertex Padmakar-Ivan (PIv) index, vertex Szeged (Szv) index, edge Padmakar-Ivan (PIe) index, edge Szeged (Sze) index, weighted vertex Padmakar-Ivan (wPIv) index, and weighted vertex Szeged (wSzv) index of a graph product ...
Asghar Syed Sheraz +4 more
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ON PROPERTIES OF PRIME IDEAL GRAPHS OF COMMUTATIVE RINGS
Barekeng, 2023 The prime ideal graph of in a finite commutative ring with unity, denoted by , is a graph with elements of as its vertices and two elements in are adjacent if their product is in . In this paper, we explore some interesting properties of .
Rian Kurnia +5 more
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On minimum revised edge Szeged index of bicyclic graphs
AKCE International Journal of Graphs and Combinatorics, 2022 The revised edge Szeged index [Formula: see text] of a graph G is defined as [Formula: see text] where [Formula: see text] and [Formula: see text] are, respectively, the number of edges of G lying closer to vertex u than to vertex v and the number of ...
Mengmeng Liu, Shengjin Ji
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A New Alternative to Szeged, Mostar, and PI Polynomials—The SMP Polynomials
Mathematics, 2023 Szeged-like topological indices are well-studied distance-based molecular descriptors, which include, for example, the (edge-)Szeged index, the (edge-)Mostar index, and the (vertex-)PI index.
Martin Knor, Niko Tratnik
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Computing PI and Szeged indices of multiple phenylenes and cyclic hexagonal-square chain consisting of mutually isomorphic hexagonal chains [PDF]
Journal of the Serbian Chemical Society, 2007 PI and Szeged indices are two of the most important topological indices defined in chemistry. In this study, the PI and Szeged indices of linear [n]-phenylenes and a cyclic hexagonal-square chain consisting of n mutually isomorphic hexagonal chains were ...
Yousefi-Azari H. +3 more
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On Distance-Based Topological Descriptors of Chemical Interconnection Networks
Journal of Mathematics, 2021 Structure-based topological descriptors of chemical networks enable us the prediction of physico-chemical properties and the bioactivities of compounds through QSAR/QSPR methods.
Min Hu +5 more
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HYDROLOGICAL DROUGHT ASSESSMENT OF THE TISZA RIVER
Zbornik Radova: Geografski institut "Jovan Cvijić", 2020 Drought is a natural phenomenon that occurs when the availability of water is significantly below the normal levels during a shorter or longer period of time and cannot meet the necessary demand.
Igor Leščešen +4 more
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