Results 21 to 30 of about 1,471 (144)

Some More Results on Reciprocal Degree Distance Index and ℱ‐Sum Graphs

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
A chemical invariant of graphical structure Z is a unique value characteristic that remains unchanged under graph automorphisms. In the study of QSAR/QSPR, like many other chemical invariants, reciprocal degree distance has played a significant role to estimate the bioactivity of several compounds in chemistry.
Asima Razzaque   +4 more
wiley   +1 more source

Structures devised by the generalizations of two graph operations and their topological descriptors

open access: yesMain Group Metal Chemistry, 2022
Graph theory served in different fields of sciences, especially in chemistry in which creating complex structures and studying their enormous properties. Graph operation is a tool to construct complex chemical structures using basic graphs.
Raza Hassan   +3 more
doaj   +1 more source

Ordering Acyclic Connected Structures of Trees Having Greatest Degree‐Based Invariants

open access: yesComplexity, Volume 2022, Issue 1, 2022., 2022
Being building block of data sciences, link prediction plays a vital role in revealing the hidden mechanisms that lead the networking dynamics. Since many techniques depending in vertex similarity and edge features were put forward to rule out many well‐known link prediction challenges, many problems are still there just because of unique formulation ...
S. Kanwal   +6 more
wiley   +1 more source

On Topological Analysis of Niobium (II) Oxide Network via Curve Fitting and Entropy Measures

open access: yesComplexity, Volume 2022, Issue 1, 2022., 2022
The remarkable optical features of metallic nanoparticles have extensively developed the interest of scientists and researchers. The generated heat overwhelms cancer tissue incident to nanoparticles with no damage to sound tissues. Niobium nanoparticles have the ability of easy ligands connection so they are very suitable in treating cancer ...
Muhammad Kamran Siddiqui   +6 more
wiley   +1 more source

Some New Upper Bounds for the Y‐Index of Graphs

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In mathematical chemistry, the topological indices with highly correlation factor play a leading role specifically for developing crucial information in QSPR/QSAR analysis. Recently, there exists a new graph invariant, namely, Y‐index of graph proposed by Alameri as the sum of the fourth power of each and every vertex degree of that graph.
Durbar Maji   +3 more
wiley   +1 more source

[Retracted] On Acyclic Structures with Greatest First Gourava Invariant

open access: yesJournal of Chemistry, Volume 2022, Issue 1, 2022., 2022
Let ξ be a simple connected graph. The first Gourava index of graph ξ is defined as GO1(ξ) = ∑μη∈E(ξ)[d(μ) + d(η) + d(μ)d(η)], where d(μ) indicates the degree of vertex μ. In this paper, we will find the upper bound of GO1(ξ) for trees of given diameter, order, size, and pendent nodes, by using some graph transformations.
Mariam Imtiaz   +5 more
wiley   +1 more source

First reformulated Zagreb indices of some classes of graphs

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
A topological index of a graph is a parameter related to the graph; it does not depend on labeling or pictorial representation of the graph. Graph operations plays a vital role to analyze the structure and properties of a large graph which is derived ...
V. Kaladevi   +2 more
doaj   +1 more source

Reformulated F-index of graph operations

open access: yesCommunications in Combinatorics and Optimization, 2017
The first general Zagreb index is defined as $M_1^\lambda(G)=\sum_{v\in V(G)}d_{G}(v)^\lambda$ where $\lambda\in \mathbb{R}-\{0,1\}$‎. ‎The case $\lambda=3$‎, ‎is called F-index‎.
Hamideh Aram, Nasrin Dehgardi
doaj   +1 more source

On the indices of certain graph products [PDF]

open access: yesTransactions on Combinatorics
Molecular descriptors are numerical graph invariants that are used to study the chemical structure of molecules. In this paper, we determine the upper bound of the Sombor index based on four operations involving the subdivision graph, semi-total point ...
Ishita Sarkar, Manjunath Nanjappa
doaj   +1 more source

Note on the Reformulated Zagreb Indices of Two Classes of Graphs

open access: yesJournal of Chemistry, 2020
The reformulated Zagreb indices of a graph are obtained from the original Zagreb indices by replacing vertex degrees with edge degrees, where the degree of an edge is taken as the sum of degrees of its two end vertices minus 2.
Tongkun Qu   +3 more
doaj   +1 more source

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