Multiplicative versions of first zagreb index

Author: mivn

August undefined, 2024

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)]. WebMultiplicative Versions of Zagreb indices of TUSC4C8(S). [112] ... Computing First and Second Zagreb index, First and Second Zagreb Polynomial of Capra-designed planar …

Comparing the Multiplicative Zagreb Indices Semantic Scholar

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 … 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]. google.com english to korean

General multiplicative Zagreb indices of unicyclic graphs

Web2 apr. 2024 · The total multiplicative sum Zagreb index of a simple graph G is defined as T ∏ (G) := ∏ u,v∈V (G) (dG (u) + dG (v)), while Π1 (G) := ∏ uv/ ∈E (G) (dG (u) + dG (v)) … WebBull. 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 · … Web6 ian. 2024 · Abstract. Let G be a simple graph. The subdivision graph and the double graph are the graphs obtained from a given graph G which have several properties related to the properties of G. google.com english

Multiplicative Versions of First Zagreb Index Request …

WebRecent results related to the multiplicative Zagreb indices and their other versions can be found in [ 16, 17 ]. Eliasi, Iranmanesh, and Gutman [ 18] introduced a new graphical invariant, which is the multiplicative version of the well-known first Zagreb index and called the multiplicative sum Zagreb index by Xu and Das [ 19 ]. Web21 nov. 2024 · The vertex k-partiteness of graph G is defined as the fewest number of vertices whose deletion from G yields a k-partite graph. In this paper, we characterize the extremal value of the reformulated first Zagreb index, the multiplicative-sum Zagreb index, the general Laplacian-energy-like invariant, the general zeroth-order Randić … google come browser predefinito windows 10WebThe first and second multiplicative Zagreb indices [ 12] are defined as MZ1(G)= ∏ u∈V (G)(du)2, M Z 1 ( G) = ∏ u ∈ V ( G) ( d u) 2, MZ2(G)= ∏ uv∈E(G)du.du, M Z 2 ( G) = ∏ u v ∈ E ( G) d u. d u, and the Narumi-Kataymana index [ 13] is defined as NK(G)= ∏ u∈V (G)du, N K ( G) = ∏ u ∈ V ( G) d u, Like the Wiener index, these types of indices are the … google.com english to latin

"WebThe concept of hyper Zagreb index, first multiple Zagreb index, second multiple Zagreb index and Zagreb polynomials was established in chemical graph theory based on vertex degrees. ... Gutman I., Multiplicative versions of first Zagreb Index, MATCH Commun. Math. Comput. Chem., 2012, 68, 217-230. Search in Google Scholar [11] Gutman I., Das … " - Multiplicative versions of first zagreb index

Multiplicative versions of first zagreb index

The Multiplicative Zagreb Indices of Nanostructures and Chains

Web10 ian. 2016 · The first and second multiplicative Zagreb indices of a graph G are Π 1 (G) = ∏ v ∈ V (G) (d (v)) 2 and Π 2 (G) = ∏ u v ∈ E (G) d (u) d (v), respectively. Eliasi et al. … Web10 ian. 2024 · Multiplicative versions of first Zagreb index of a connected graph was defined by Eliasi et. al. in [22] as; = ∗ 5 ( ))= Ñ[deg( Q)+deg( R)]. è é∈() ∗ 5 For detailed discussions of the multiplicative version of Zagreb indices, we refer the interested reader to [23] and the references cited therein.

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Web2 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]. WebThe 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 …

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 … 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 …

WebThe 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… 122 Highly Influential PDF View …

Web1 feb. 2024 · The first (generalized) and second Multiplicative Zagreb indices are defined as follows: For c > 0, \begin {aligned} \Pi _ {1,c} (G) = \prod _ {u \in V (G)}d (u)^ …

Web21 aug. 2024 · respectively. They were first defined in 1972 by Gutman and Trinajstic [], and are referred to due to their uses in QSAR and QSPR studies.In [], some results on the first Zagreb index together with some other indices are given.In [], the multiplicative versions of these indices are studied.For graph operations, these indices are calculated in []. google.com english to englishWeb1 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 ... chicago fire department hiring processWebThis work presents upper and lower bounds on the general multiplicative Zagreb indices for graphs with given number of vertices and cut-edges called bridges, and gives all the … chicago fire department helmet shieldWeb8 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, … google comedy pictureWebMultiplicative versions of first Zagreb index. M Eliasi, A Iranmanesh, I Gutman. Match-Communications in Mathematical and Computer Chemistry 68 (1), 217, 2012. 308: 2012: The edge versions of the Wiener index. A Iranmanesh, I Gutman, O Khormali, A Mahmiani. Match 61 (3), 663, 2009. 135: 2009: chicago fire department jobsWebMultiplicative Zagreb indices have numerous applications and they have been studied especially in the last decade. They play a signiﬁcant role in chemistry, materials science, pharmaceutical sciences and engineering, since they can be correlated with a large num-ber of physico-chemical properties of molecules. Graph theory is used to characterize chicago fire department helmet shieldsWeb1 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, … google comenity bank