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Multiplicative versions of first zagreb index

Web1 ian. 2012 · The first Zagreb index of a graph G, with vertex set V (C) and edge set E (G), is defined as M-1 (G) = Sigma (u is an element of v (G)) d (u) (2) where d (u) denotes the … WebLet be a graph, then the first and second multiplicative Zagreb indices are During the past two decades, various noteworthy applications regarding multiplicative Zagreb indices …

M-Polynomials and Topological Indices of Titania Nanotubes

Web31 oct. 2016 · The first Zagreb index M 1 (G) is defined as the sum of the squares of degrees of a graph G, and the second Zagreb index M 2 (G) is the sum of the product of all degrees corresponding to each edge in G . The second modified Zagreb index is defined by m M 2 (G) = ∑ u v ∈ E (G) d u d v, where d u and d v are the degrees of vertices u and v ... WebMultiplicative versions of first Zagreb index. Zbl 1289.05062 Eliasi, Mehdi; Iranmanesh, Ali; Gutman, Ivan: 63. 2012. On the commuting graph associated with the symmetric and alternating groups. ... Multiplicative versions of Zagreb indices under subdivision operators. Zbl 1347.05036 Azari, Mahdieh; Iranmanesh, Ali: 1. black sheep willow glen https://allenwoffard.com

General multiplicative Zagreb indices of unicyclic graphs

Web4 feb. 2024 · first and second universal Zagreb index, sum and product connectivity of multiplicative indices, multiple atom-bond connectivity and Geometric-Arithmetic index Citation: Usman Babar, Haidar Ali, Shahid Hussain Arshad, Umber Sheikh. Multiplicative topological properties of graphs derived from honeycomb structure [J]. WebFirst Multiplicative Generalized Zagreb Index [69] MZ 1 G D dduw G D 5. Second Multiplicative Generalized Zagreb Index [69] D MZ2 G . dduw G D 6. Multiplicative version of First Zagreb Index [70] * G1() dduw u w E G 7. Second Multiplicative Zagreb Index [68] II G 2 (). dduw G 8. Multiplicative First Hyper Zagreb Index [71] G1() 2 … Web6 feb. 2015 · The first Zagreb index M 1 ( G) is equal to the sum of squares of the degrees of the vertices, and the second Zagreb index M 2 ( G) is equal to the sum of the … black sheep why because

Two Complex Graph Operations and their Exact Formulations on ...

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Multiplicative versions of first zagreb index

On topological properties of block shift and hierarchical …

Web3 feb. 2024 · Multiplicative versions of topological indices were first considered in , whereas the corresponding first and second multiplicative Zagreb indices, \(\Pi _1\) and \(\Pi _2\), were put forward in [14, 15] and defined as Web2 aug. 2024 · The important variants of the Zagreb index are the first and second Zagreb coindices, which are defined as follows, respectively: Doslic introduced and in 2008. In 2009, Ashrafi et al. determined the extremal values of these …

Multiplicative versions of first zagreb index

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Web开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆 Web9 iun. 2024 · In this section, we compute the multiplicative version general Zagreb index of block shift networks. First we consider BSN-1 [m \times m]. The edge set of BSN-1 [m\times m] is partitioned into two disjoint sets namely E_1 (BSN-1 [m\times m]) and E_2 (BSN-1 [m\times m]) such that E_1 (BSN-1 [m\times m]) =8 and E_2 (BSN-1 [m\times …

Web8 apr. 2024 · Further, we analyzed the predicting capacity of entropy measures based on both versions of multiplicative descriptors, and it turned out that scalar multiplicative … Web1 ian. 2016 · Key Words: First Zagreb index, First and Second multiplicative Zagreb coindex, Narumi-Katayama index. 2010 Mathematics Subject Classification: Primary …

Web26 oct. 2024 · The multiplicative first Zagreb index of a graph H is defined as the product of the squares of the degrees of vertices of H . The line graph of a graph H is denoted by … WebThe first Zagreb index of a graph G, with vertex set V (G) and edge set E(G), is defined as M1(G) = ∑ u∈V (G) d(u) 2 where d(u) denotes the degree of the vertex v. An alternative expression for M1(G) is ∑ uv∈E(G)[d(u) + d(v)]. We consider a multiplicative version of M1 defined as Π∗1(G) = ∏ uv∈E(G)[d(u) + d(v)].

Web1 ian. 2016 · The multiplicative sum Zagreb index is a graph invariant defined as the product of the sums of the degrees of pairs of adjacent vertices in a graph. In this paper, …

WebThe multiplicative version of these Zagreb indices the first multiple Zagreb index 2 / 5 : ) ; and the second multiple Zagreb index 2 / 6 : ) ; of a (molecular) graph ) were introduced by Gutman21 and Ghorbani and Azimi22 as follows: 2 / 5 : ) ; L Ñ : @ è E @ é ; è é∈ ¾ : À ;, : Þ ; 2 / 6 : ) ; L Ñ : @ è H @ é ; è é∈ : À ... garth davis md houstonWebBull. Malays. Math. Sci. Soc. DOI 10.1007/s40840-017-0463-2 Zagreb Indices and Multiplicative Zagreb Indices of Eulerian Graphs Jia-Bao Liu1 · Chunxiang Wang2 · … garth d craWeb24 sept. 2024 · The multiplicative sum Zagreb index of a graph G, denoted by Π * 1 (G), is the product of the sum of the degrees of adjacent vertices in G. This graphical invariant … garth davis md bookWeb8 apr. 2024 · Further, we analyzed the predicting capacity of entropy measures based on both versions of multiplicative descriptors, and it turned out that scalar multiplicative descriptors have high correlations, and the corresponding linear regression models are presented. ... (M_1^{s\times }(KL)=25636 \times 10^{63}\) for the first Zagreb indices, … garth dawson camera shopWeb1 nov. 2016 · PDF The first, second and modified first multiplicative Zagreb indices of a graph $G$ are defined, respectively, as $\\prod_{1}(G)$ = $\\prod... Find, read and ... black sheep wimbledonWeb2 aug. 2024 · The first Zagreb index is also written as . Recently, some useful versions of Zagreb indices have been discovered, such as multiplicative Zagreb indices [3, 7, 10], multiplicative sum Zagreb indices [11, 12], Zagreb coindices [6], and multiplicative Zagreb coindices [13]. garth d cray mountWebThe first and second multiplicative Zagreb indices of G are Π1 = ∏ x∈V (G) deg (x) 2 and Π2 = ∏ xy∈E (G) deg (x) deg (y) , respectively, where deg (v) is the degree of the vertex … garth dawson studio accrington