Results 21 to 30 of about 1,463 (147)

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

Main 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, Waheed Muhammad, Jamil Muhammad Kamran, Azeem Muhammad   +3 more
doaj   +1 more source

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

Complexity, 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, Sana Javed, Sadia Khalid, Mazhar Hussain, Muhammad Shahbaz, Samuel Asefa Fufa, Yue Song   +6 more
wiley   +1 more source

Some New Upper Bounds for the Y‐Index of Graphs

Journal 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, Ganesh Ghorai, Faria Ahmed Shami, Naeem Jan   +3 more
wiley   +1 more source

[Retracted] On Acyclic Structures with Greatest First Gourava Invariant

Journal 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, Maria Naseem, Misbah Arshad, Salma Kanwal, Maria Liaqat, Haidar Ali   +5 more
wiley   +1 more source

First reformulated Zagreb indices of some classes of graphs

Karpatsʹkì 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, R. Murugesan, K. Pattabiraman   +2 more
doaj   +1 more source

[Retracted] On Second Gourava Invariant for q‐Apex Trees

Journal of Chemistry, Volume 2022, Issue 1, 2022., 2022
Let G be a simple connected graph. The second Gourava index of graph G is defined as GO2(G) = ∑θϑ∈E(G)(d(θ) + d(ϑ))d(θ)d(ϑ) where d(θ) denotes the degree of vertex θ. If removal of a vertex of G forms a tree, then G is called an apex tree. Let L ⊂ V(G) with ∣L | = q.
Ying Wang, Salma Kanwal, Maria Liaqat, Adnan Aslam, Uzma Bashir, Haidar Ali   +5 more
wiley   +1 more source

Reformulated F-index of graph operations

Communications 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]

Transactions 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

Journal 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, Mengya He, Shengjin Ji, Xia Li   +3 more
doaj   +1 more source

Zagreb indices of block-edge transformation graphs and their complements

Indonesian Journal of Combinatorics, 2017
In this paper, we obtain expressions for first and second Zagreb indices and coindices of block-edge transformation graphs G^{ab}. Analogous expressions are obtained also for the complements of G^{ab}.
Bommanahal Basavanagoud, Shreekant Patil
doaj   +1 more source