On the wiener index of unicyclic graphs

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August undefined, 2024

Web30 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 … WebSearch ACM Digital Library. Search Search. Advanced Search

The edge-Wiener index of a graph - ScienceDirect

WebLet be the number of connected induced subgraphs in a graph , and the complement of . We prove that is minimum, among all -vertex graphs, if and only if has no induced path on four vertices. Since the -vertex star … 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 … diamond brite ceramic coating reviews

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Web30 de out. de 2024 · Moreover, SAGE simulations on graphs with up to ten vertices … 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. WebOur 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 … diamond brite complaints

ON THE WIENER INDEX OF UNICYCLIC GRAPHS - Semantic Scholar

Combinatorial explanation of the weighted Wiener (Kirchhoff) …

Web1 de dez. de 2024 · Case 2. At least one of vertices v i and v j is in C k (see Fig. 3).. … Webwhere M 1 (Γ) and F (Γ) present the first Zagreb and forgotten indices of the (molecular) … circleworld-icWebWiener index on unicyclic graphs, e.g. [4,8,11]. Section 4 of the aforementioned paper of Furtula et al. [15] is devoted to unicyclic graphs. Furthermore, we say that a graph on p + q vertices has a (p;q)-partition if it is bipartite and the … circle word printable free

"WebThe maximum Wiener polarity index of unicyclic graphs [J]. Appl Math Comput, 2012, 218(20): 10149-10157. [9] BANDY J B A, MURTY U S R. Graph theory [M]. London: Springer, 2008. [10] LIU Bolian, HOU Huoquan, HUANG Yufen. On the Wiener polarity index of trees with maximum degree or given number of leaves [J]. " - On the wiener index of unicyclic graphs

On the wiener index of unicyclic graphs

WebThe Wiener polarity index of a connected graph G is defined as the number of its pairs of vertices that are at distance three. By introducing some graph transformations, in different way with that of Huang et al., 2013, we determine the minimum Wiener polarity index of unicyclic graphs with any given maximum degree and girth, and characterize extremal … 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 …

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WebThe maximum Wiener polarity index of unicyclic graphs [J]. Appl Math Comput, 2012, … 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) ...

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 ... WebEditor’s Choice articles are based on recommendations by the scientific editors of MDPI …

WebThe Wiener index of a graph G is deﬁned as W(G) = P u,v dG(u,v), where dG(u,v) is … Web17 de out. de 2016 · The Wiener index is the sum of distances between all pairs of …

WebLiu 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

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指数伊佳茹，雷英杰(中北大学理学院，太原 030 diamondbrite facebookWeb1 de fev. de 2011 · The Wiener index of a graph G is defined as W (G)=∑ u,v d G (u,v), … diamond brite cleanersWeb9 de mar. de 2024 · Molecular trees and unicyclic graphs are characterized by … circle world electronics coWebKeywords: 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. circleworks outer rim toolWeb22 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 … circle worksheet for preschoolWebSearch ACM Digital Library. Search Search. Advanced Search diamond brite dishwashing detergentWebA. 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 … circle workflow template