On the wiener index of unicyclic graphs
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. Web30 de out. de 2024 · Moreover, SAGE simulations on graphs with up to ten vertices …
On the wiener index of unicyclic graphs
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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 ... WebSZEGED INDEX OF A CLASS OF UNICYCLIC GRAPHS 1141 Lemma 3 ([10,18]). Among the n-vertex trees with n 4, S0 n is the unique graph with the second smallest Wiener index, which is equal to n2 n 2, and P0 n is the unique graph with the second largest Wiener index, which is equal to 1 6.n 3 7nC18/. The following lemma may be easily …
WebThe maximum Wiener polarity index of unicyclic graphs [J]. Appl Math Comput, 2012, … Web6 de abr. de 2024 · In the case of unicyclic graphs f(x) ... Mn – index, Hosoya …
WebWiener (RRW) matrix RRW(G) of G is an n×n matrix (rij) such that rij = 1 d(G)−dij if i, j … Web15 de jun. de 2012 · The Wiener polarity index W p (G) of a graph G is the number of …
WebThe Wiener index of a graph G is defined as W (G) = ∑ u,v dG(u, v), where dG(u, v) is …
Web22 de jan. de 2024 · That is, among a certain class of graphs, the extremal graphs that maximize one index usually minimize the other, and vice versa. In this paper, we first study the numbers of subtrees in unicyclic graphs and unicyclic graphs with a given girth, further confirming its opposite behavior to the Wiener index by comparing with known … dick van dyke show youtube channelWeb1 de mar. de 2013 · Tang and Deng (J. Math. Chem. 43:60–74, 2008) considered the … dick van dyke singing as the gnomeWeb1 de set. de 1994 · Maximum Reciprocal Degree Resistance Distance Index of Unicyclic Graphs. Discrete Dynamics in Nature and Society 2024, 2024 , 1-14. https: ... The symmetry-moderated Wiener index of truncation graph, Thorn graph and Caterpillars. Discrete Applied Mathematics 2024, 269 , 41-51. https: ... dick van dyke that\u0027s my boyWeb1 de jun. de 2016 · The Wiener index is the sum of distances between all pairs of distinct … dick van dyke show walnut episodeWeb1 de out. de 2009 · It has found various applications in chemical research and has been … dick van dyke that\\u0027s my boyWeb28 de mai. de 2009 · Then the Wiener index of G with respect to c is W ( G, c) = ∑ { x, y } ⊆ V c ( x) c ( y) d ( x, y). We note that for c ≡ 1 this yields the usual Wiener index, while for c ( x) = deg ( x) we obtain the Gutman index. The edge-Wiener index of a graph is connected to its Gutman index by the following inequality. Theorem 5. dick van dyke show youtube s02e03WebLiu described the relations between Wiener polarity index, Zagreb index, Wiener index, and hyper-Wiener index in [ ]; they also determined there the rst two smallest Wiener polarity indices among all unicyclic graphs. Recently, Du et al. obtained the smallest and largest Wiener polarity indices togetherwith thecorrespondinggraphs amongalltreeswith city center hotel gym the pataleshwar caves