Results 111 to 120 of about 4,394,235 (151)

Topological Insights into Nanostar Dendrimers by Computing the Augmented Zagreb Index.

Combinatorial chemistry & high throughput screening
BACKGROUND The field of nanobiotechnology uses precise nanofabrication techniques to advance our understanding and control of biological systems. Due to their remarkable properties, dendrimers, which are hyperbranched macromolecular structures with ...
Haleemah Ghazwani, Ali N. A. Koam, M. Nadeem, Ali Ahmad   +3 more
semanticscholar   +1 more source

The First Zagreb Index and Some Hamiltonian Properties of Graphs

Mathematics
Let G=(V,E) be a graph. The first Zagreb index of a graph G is defined as ∑u∈VdG2(u), where dG(u) is the degree of vertex u in G. A graph G is called Hamiltonian (resp. traceable) if G has a cycle (resp. path) containing all the vertices of G.
Rao Li
semanticscholar   +1 more source

Relation Between Wiener Index and First Zagreb Index with First Zagreb Coindex

International Journal of Mathematics and Computer Science
In this paper, we establish extremal results and bounds of Wiener index with respect to the sum of the first Zagreb index and the first Zagreb coindex of a graph given its minimum and maximum degrees together with its diameter. We have shown that nontrivial complete graphs correspond to extremal graphs.
Mohammad, Nurijam Hanna M., Patangan, Rachel M., Militante, Mae P., Abdulwahid, Faricia M., Fabillar, Edwin B.   +4 more
openaire   +2 more sources

A note on the first reformulated Zagreb index

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emina I. Milovanovic, Igor Z. Milovanovic, E. C. Dolicanin, Edin Glogic   +3 more
openaire   +1 more source

On the second order first Zagreb index

2017
Summary: Inspired by the chemical applications of higher-order connectivity index (or Randić index), we consider here the higher-order first Zagreb index of a molecular graph. In this paper, we study the linear regression analysis of the second order first Zagreb index with the entropy and acentric factor of an octane isomers.
Basavanagoud, B, Patil, S., Deng, H. Y.
openaire   +2 more sources

On the first variable Zagreb index

2017
Summary: The first variable Zagreb index of graph \(G\) is defined as \(M_1^\lambda(G)=\sum_{x\in V(G)}d(v)^{2\lambda}\), where \(\lambda\) is a real number and \(d(v)\) is the degree of vertex \(v\). In this paper, some upper and lower bounds for the distribution function and expected value of this index in random increasing trees (recursive trees ...
Moradian, K., Kazemi, R., Behzadi, M.
openaire   +1 more source

Multiplicative Version of First Zagreb Index in Fuzzy Graph and its Application in Crime Analysis

Proceedings of the National Academy of Sciences India Section A Physical Sciences, 2023
S. R. Islam, M. Pal
semanticscholar   +1 more source

Effect of edge addition on reduced second Zagreb Index and hyper-Zagreb Index

2023
Bir grafa kenar/köşe ekleme ya da bir graftan kenar/köşe silme işlemi, verilen bir graf ya da graf sınıfının gerekli birçok özelliğini çalışmada oldukça kullanışlı bir yöntemdir. Bu yöntemi art arda uygulayarak daha küçük graftan elde edilen daha büyük bir graf hakkında bilgi edinilebilir.
openaire   +1 more source

Third Zagreb index of graphs with added edges

2022
Summary: Edge deletion and addition to a graph is an important combinatorial method in Graph Theory which enables one to calculate some properties of a graph by means of similar and usually simpler graphs. In this paper, as a sequel to recent papers on edge deletion and addition, we consider the change in the third Zagreb index of a simple graph G when
CANGÜL, İSMAİL NACİ, Mahalank, Pushpalatha   +1 more
openaire   +2 more sources

The Exponential Second Zagreb Index of (n, m)-Graphs

Mediterranean Journal of Mathematics, 2023
Chunlei Xu, B. Horoldagva, Lkhagva Buyantogtokh   +2 more
semanticscholar   +1 more source