[PDF] Top 20 On the second order first zagreb index
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On the second order first zagreb index
... connectivity index (or Randic′ index), we consider here the higher-order first Zagreb index of a molecular ...the second order first Zagreb ... See full document
13
Degree Based Topological Indices of Zig Zag Chain
... Harmonic, First Zagreb, Second Zagreb, Second Modified Zagreb, Inverse Sum, Albertson, Atom – bond Connectivity, Symmetric – Division index and Augmented Zagreb ... See full document
11
Some Topological Indices of Edge Corona of Two Graphs
... Wiener index is a classical distance based topological ...was first introduced by ...Wiener index has been extensively studied by many chemists and ...Wiener index the reader may refer to [5, ... See full document
14
The First and Second Zagreb Indices of Degree Splitting of Graphs
... Let G be simple graph. The first Zagreb index is the sum of squares of degree of vertices and second Zagreb index is the sum of the products of the degrees of pairs of[r] ... See full document
6
Extremal trees with respect to the first and second reformulated Zagreb index
... the first reformulated Zagreb index in the class of trees and bicyclic graphs by introducing some graph operations which increase or decrease this ...the first reformulated Zagreb ... See full document
7
Vol 8, No 2 (2017)
... modified first and second Zagreb indices, harmonic index and augmented Zagreb index for certain networks like silicate networks and honeycomb ... See full document
8
The multiply version of Zagreb indices of a family of molecular graph "polycyclic aromatic hydrocarbons (PAHS)"
... In this section, we focus on the structure of hydrocarbon structures and counting the First Multiple Zagreb index and Second Multiple Zagreb index of Polycyclic Aromatic ... See full document
5
Note on Properties of First Zagreb Index of Graphs
... see [1,4,6]. A tree is an undirected graph in which any two vertices are connected by exactly one simple path. In other words, any connected graph without cycles is a tree. A caterpillar or caterpillar tree is a tree in ... See full document
5
Some new results on multiplicative topological indices
... Over the time, the multiplicative versions of the indices were also defined. Todeschini et al. [18] who introduced the multiplicative counterparts of the additive invariants of a graph lead to the definition of ... See full document
5
An Upper Bound on the First Zagreb Index in Trees
... The first Zagreb index can be also expressed as the sum of vertex degree over edges of G, that is, M 1 ( G ) = uv E ( G ) ( d u d v ...the first Zagreb coindex, as M 1 ( G ) = ... See full document
12
Reverse Zagreb indices of corona product of graphs
... compounds. Zagreb indices were introduced more than forty years ago by Gutman and Trinajestic ...The Zagreb indices are found to have applications in QSPR and QSAR studies as well, see ...Reverse ... See full document
5
On the first variable Zagreb index
... There are several tree models, namely so called recursive trees, plane-oriented recursive trees (also known as non-uniform recursive trees or heap ordered trees) and binary increasing trees, which turned out to be ... See full document
9
Some Invariants of Cartesian Product of a Path and a Complete Bipartite Graph
... topological index of graph G is a numerical parameter related to G, which characterizes its topology and is preserved under isomorphism of ...M-polynomial, first and second Zagreb polynomials ... See full document
10
On discriminativity of Zagreb indices
... The second Zagreb coindex is defined by the same modification of definition of the second Zagreb ...the first Zagreb index and the first Zagreb coindex of a ... See full document
10
Trees with Extreme Values of Second Zagreb Index and Coindex
... In this paper, G is a simple connected graph with vertex set V = V (G) and edge set E = E(G). The order |V | of G is denoted by n = n(G). For every vertex v ∈ V , the open neighborhood N (v) is the set {u ∈ V (G) ... See full document
12
MAXIMAL GRAPHS OF THE FIRST REVERSE ZAGREB BETA INDEX
... the first kind of edges have degree n 2 + 1 = r + 1 and and the reverse degree of these vertices are r + ...the second kind of edges have degrees n 2 + 1 = r + 1 and n 2 = ... See full document
5
Topological Indices of Cetirizine
... index, First Zagreb index, Second Zagreb index, First Multiple Zagreb index, Second Multiple Zagreb index, Augmented ... See full document
8
On computational Aspects of Bismuth Tri-Iodide
... topological index is a numerical quantity based on the characteristics of various invariants or molecular ...computes Zagreb polynomials and redefined first, second and third Zagrebindices of ... See full document
15
Computation on Zagreb Polynomial of Some Families of Dendrimers
... and denotes the first and second Zagreb indices of , respectively. We encourage the reader to consult [7-13] for historical background and mathematical properties of Zagreb indices. In 2011, ... See full document
7
Extremal trees with respect to some versions of Zagreb indices via majorization
... multiplicative Zagreb indices are the path and star ...the first through ninth greatest multiplicative Zagreb index among all trees of order ...the first through eighth smallest ... See full document
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