On the wiener index of unicyclic graphs

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August undefined, 2024

WebEditor’s Choice articles are based on recommendations by the scientific editors of MDPI … Web27 de out. de 2024 · The Wiener polarity index WP(G) of a graph G is the number of …

双圈图的Wiener极性指数_参考网

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 Wiener Index of Unicyclic Graphs with Girth and the Matching Number flory ann hantson

The Reciprocal Reverse Wiener Index of Unicyclic Graphs - JSTOR

WebDOI: 10.46793/match.88-1.179m Corpus ID: 245986474; Upper and Lower Bounds for Generalized Wiener Indices on Unicyclic Graphs @article{MartinezPerez2024UpperAL, title={Upper and Lower Bounds for Generalized Wiener Indices on Unicyclic Graphs}, author={'Alvaro Mart'inez-P'erez and os'e M. Rodr'iguez}, journal={Match … WebA. Hamzeh S. Zadeh A. Ashrafi Extremal graphs under wiener type invariants MATCH Commun. Math. Comput. Chem.69 2013 47 54 [Google Scholar] B. Horoldagva K. Das Sharp lower bounds for the zagreb indices of unicyclic graphs Turkish J. Math.39 2015 595 603 , [Google Scholar] M. Khalifeh H. Azari A. Ashrafi The hyper-Wiener index of … 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 … floryan lee

Full article: Topological indices of the -graph - Taylor & Francis

Extremal unicyclic and bicyclic graphs with respect to Harary index

Web15 de jun. de 2012 · The Wiener polarity index of a graph G is the number of unordered … Web1 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: ... greedfall esrb ratingWebAbstract. The Wiener polarity index of a graph is the number of unordered pairs of vertices of such that the distance between and is 3. Cycle-block graph is a connected graph in which every block is a cycle. In this paper, we determine the maximum and minimum Wiener polarity index of cycle-block graphs and describe their extremal graphs; the … floryan law group

"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 ... " - On the wiener index of unicyclic graphs

On the wiener index of unicyclic graphs

The extremal unicyclic graphs of the revised edge Szeged index …

Web15 de nov. de 2024 · The name Wiener index or wiener number for the quantity defined … 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.

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Web8 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 Web1 de jun. de 2016 · The Wiener index is the sum of distances between all pairs of distinct …

Web17 de out. de 2016 · The Wiener index is the sum of distances between all pairs of … Web28 de jul. de 2012 · Unicyclic graphs are connected graphs with the same number of …

Web1 de dez. de 2024 · Case 2. At least one of vertices v i and v j is in C k (see Fig. 3).. … Web28 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.

Web1 de dez. de 2013 · In this paper, we obtain the graph with the least Wiener index …

greedfall expeditionWebLiu 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 florya pet shopWebWiener (RRW) matrix RRW(G) of G is an n×n matrix (rij) such that rij = 1 d(G)−dij if i, j and dij < d(G), and 0 otherwise [3, 4]. For a connected graph G, its Wiener index is deﬁned as the sum of distances between all unordered pairs of distinct vertices of G [2, 8]. In parallel to this deﬁnition, the reciprocal reverse Wiener (RRW) index flory ann catlinWebwhere M 1 (Γ) and F (Γ) present the first Zagreb and forgotten indices of the (molecular) … florya ontbijtWeb9 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) ... flory art galleryWebof 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 ... flory asbestsaneringWebWiener (RRW) matrix RRW(G) of G is an n×n matrix (rij) such that rij = 1 d(G)−dij if i, j … florya park hotel