[PDF] Top 20 Extremal trees with respect to some versions of Zagreb indices via majorization
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Extremal trees with respect to some versions of Zagreb indices via majorization
... general Zagreb index of G as follows ( ) = ∑ ∈ ( ) ( ) ...all trees with the first three smallest and largest values of the first general Zagreb index, where α is an integer or a fraction 1/k for a ... See full document
11
Extremal trees with respect to the first and second reformulated Zagreb index
... reformulated Zagreb index of graphs with connectivity at most k and characterized the corresponding extremal ...on Zagreb and reformulated Zagreb indices of simple ... See full document
7
Chemical Trees with Extreme Values of Zagreb Indices and Coindices
... the extremal graphs with respect to the Zagreb ...to some other classes of graphs of chemical interest and emphasized that their "result leave open the question of the minimum values of ... See full document
11
On discriminativity of Zagreb indices
... second Zagreb coindex is defined by the same modification of definition of the second Zagreb ...for some basic properties of Zagreb ...first Zagreb index and the first Zagreb ... See full document
10
On the First and Second Locating Zagreb Indices of Graphs
... The Zagreb indices have been studied extensively due to their nu- merous applications in the place of existing chemical methods which need more time and increase the ...extended versions of the ... See full document
12
The extremal graphs with respect to their nullity
... , . . . , n. The rank of a graph G, denoted by r(G), is the rank of its adjacency matrix A(G). The multiplicity of the eigenvalue zero of A(G) is called the nullity of G and is denoted by η(G). It is obvious that η(G) = ... See full document
13
New K-Banhatti Topological Indices
... characterize some property of the graph of a molecular is called a topological index for that ...found some applications in theoretical chemistry especially in QSPR/QSAR ... See full document
9
The Edge Version of Degree Based Topological Indices of p NAqp Nanotube
... Topological indices have some major classes but among these classes degree based topological indices have prominent role in chemical graph ...of some important degree based topological ... See full document
9
On the Zagreb Indices of Semi total Point Graphs of Some Graphs
... In theoretical chemistry, the physico-chemical properties of chemical compounds are often modeled by means of a molecular graph based structure descriptors, which are also referred to as topological indices. In ... See full document
9
Zagreb, multiplicative Zagreb Indices and Coindices of graphs
... Hamzeh, Extremal graphs with respect to the Zagreb coindices, MATCH Communications in Mathematical and in Computer Chemistry 65 (2011) 85- ... See full document
11
EDGE-ZAGREB INDICES OF GRAPHS
... modelling some chemical ...matrices, some giving important information about the molecules that are modelled by the corresponding ...[2], some formulae and recurrence rela- tions on spectral ... See full document
10
On the forgotten topological index
... The Wiener index [17] is the first reported distance based topological index defined as half sum of the distances between all the pairs of vertices in a molecular graph [10,16]. Topological indices are abundantly ... See full document
12
Vol 8, No 12 (2017)
... A molecular graph is a graph such that its vertices correspond to the atoms and the edges to the bonds. A topological index is a numerical parameter mathematically derived from the graph structure. In chemical science, ... See full document
5
On multiplicative Zagreb indices of graphs
... The goal of this section is computing the truncated Zagreb indices of an infinite class of dendrimers. To do this, we use Theorems 2 and 3. The truncated Zagreb indices for other classes of ... See full document
10
On Zagreb indices of pseudo-regular graphs
... Recall that the inequality M n M m 1 / 2 / was subject of numerous studies, starting with [39]. It is often referred to as the Zagreb indices inequality. For details see the reviews [10,11], the recent ... See full document
12
On multiplicative Zagreb indices of two new operations of graphs
... The Cartesian product of graphs G and H, denoted by G H, is the graph with vertex set V (G) V (H )={(a, v) : a ∈ V (G),v ∈ V (H)}, and (a, v) is adjacent to (b, w) whenever a = b and (v,w) ∈ E(H), or v = w and (a, b) ∈ E ... See full document
12
Extremal Phenylene Chains with Respect to the Kirchhoff Index and Degree-based Topological Indices
... characterize extremal phenylene chains with respect to the Harmonic index, first Zagreb index, sum- connectivity index, Geometric-Arithmetic index, Atom-Bond connectivity index and Symmetric Division ... See full document
7
Computation of Some Degree Based Topological Indices of Silicates (SiO2) Layer
... connection with ABC index [4] and Geometric-Arithmetic index [7]. In [9][10], Kulli discussed new multiplicative version of connectivity indices in nanotubes. In 2017, Kulli also proposed new arithmetic-geometric ... See full document
7
On the Multiplicative Zagreb Indices of Bucket Recursive Trees
... recursive trees are an interesting and natural generalization of ordinary recursive trees and have a connection to mathematical ...multiplicative Zagreb indices in a randomly chosen bucket ... See full document
9
Computing Multiplicative Zagreb Indices with Respect to Chromatic and Clique Numbers
... multiplicative Zagreb index and the modified Narumi– Katayama index are the ...the extremal graphs are characterized with respect to modified Narumi–Katayama ... See full document
8
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