On the wiener index of unicyclic graphs

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August undefined, 2024

Web1 de mar. de 2013 · Tang and Deng (J. Math. Chem. 43:60–74, 2008) considered the … Web1 de dez. de 2013 · In this paper, we obtain the graph with the least Wiener index …

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WebKeywords: Edge Szeged index; Revised edge Szeged index; Unicyclic graph; Diameter. 2010 MSC: 05C40, 05C90 1 Introduction Throughout this paper, all graphs we considered are simple, undirected and connected. Let ... [14] S. Tan, The minimum Wiener index of unicyclic graphs with a ﬁxed diameter, J. Appl. Math. Comput. (2016) 1–22. Web15 de nov. de 2024 · The name Wiener index or wiener number for the quantity defined … truman webb

Combinatorial explanation of the weighted Wiener (Kirchhoff) …

WebDOI: 10.46793/match.88-1.179m Corpus ID: 245986474; Upper and Lower Bounds for … WebSearch ACM Digital Library. Search Search. Advanced Search WebHá 2 dias · In this paper, we obtain the graph with the least Wiener index among all the unicyclic graphs with n vertices and diameter d. Moreover, if 4≤d≤n-3, d≡0(mod 2), then the unicyclic graphs with ... philippine cardinalfish

Upper and Lower Bounds for Generalized Wiener Indices on Unicyclic Graphs

Web26 de fev. de 2011 · Download a PDF of the paper titled The Wiener Index of Unicyclic Graphs with Girth and the Matching Number, by Ya-Hong Chen and Xiao-Dong Zhang Download PDF Abstract: In this paper, we investigate how the Wiener index of unicyclic graphs varies with graph operations. philippine capital historyWeb8 de abr. de 2024 · Request PDF On Apr 8, 2024, Ioan Tomescu published Extremal quasi-unicyclic graphs with respect to vertex-degree function ... Balaban-type indices, Wiener index and its modifications, Szeged index philippine car brands

"WebA unicyclic graph is a connected graph with the same number of edges and vertices. In this paper, we study the lower and upper bounds of Steiner \(k\)-Wiener index of unicyclic graphs. In addition, we also obtain the second largest … " - On the wiener index of unicyclic graphs

On the wiener index of unicyclic graphs

WebOur paper is organized as follows: In Section 2, we give necessary definitions and state … Webof the two vertices vi and vj in the graph G (i.e., the number of edges in a shortest path connecting vi and vj). Mathematical properties and applications of H are reported in [4, 9, 10, 21, 30]. Another distance-based topological indices of a graph G is the Wiener index W(G). As an oldest topological index, the Wiener index of a graph G ...

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WebEditor’s Choice articles are based on recommendations by the scientific editors of MDPI … WebIn this paper, we characterize n-vertex unicyclic graphs with girth k, having minimal Gutman index. Supported by the Natural Science Foundation of China (Nos. 11101245, 61103119, 10871205), the Natural Science Foundation of Shandong (No. ZR2011AQ005, No. BS2010SF017) and BMNSF (4112052).

Web2 de set. de 2016 · The Wiener index of a graph , denoted by , is one of the oldest topological indexes, which was first introduced by Wiener in 1947. ... “The hyper-Wiener index of unicyclic graphs,” Utilitas Mathematica, vol. 82, pp. 215–225, 2010. View at: Google Scholar MathSciNet. Web1 de dez. de 2024 · Case 2. At least one of vertices v i and v j is in C k (see Fig. 3).. …

Web伊佳茹，雷英杰(中北大学理学院，太原 030051)给定直径的单圈图的Harary指数伊佳 … WebThe Wiener index of a graph G is defined as W (G) = ∑ u,v dG(u, v), where dG(u, v) is …

Web27 de out. de 2024 · The Wiener polarity index WP(G) of a graph G is the number of …

Web9 de mar. de 2024 · Molecular trees and unicyclic graphs are characterized by identifying extremal NI index. ... [37] Poulik S., Ghorai G., Determination of journeys order based on graph’s wiener absolute index with bipolar fuzzy information, Inf. Sci. 545 (2024) ... philippine car companyWeb30 de out. de 2024 · Moreover, SAGE simulations on graphs with up to ten vertices confirm that the pair of graphs shown in Fig. 2 is the smallest and unique pair of D-cospectral graphs having different diameter and Wiener index.. Download : Download high-res image (45KB) Download : Download full-size image Fig. 1. Two graphs on four vertices which … philippine card numberWeb11 de set. de 2008 · We determine the maximum values of the reverse Wiener indices of … philippine capitals and provincesWeb伊佳茹，雷英杰(中北大学理学院，太原 030051)给定直径的单圈图的Harary指数伊佳茹，雷英杰(中北大学理学院，太原 030 philippine card gameWebOur paper is organized as follows: In Section 2, we give necessary definitions and state the main results of the paper. The first result determines the graphs with the fourth, fifth, sixth and seventh largest values on W ⁢ (G) 𝑊 𝐺 W(G) italic_W ( italic_G ) among all unicyclic graphs of order n ⩾ 10; 𝑛 10 n\geqslant 10; italic_n ⩾ 10 ; while the second result … truman war crimeWebHá 1 dia · The revised edge Szeged index of is defined as , where (resp., ) is the number … truman wellingWebThe Wiener Index of Unicyclic Graphs with Girth and the Matching Number philippine careers