Results 171 to 180 of about 722,873 (188)

On degree based topological invariants and Zagreb polynomials of graph constructions

AIP Conference Proceedings, 2020
In this article, the exact formulae for first and second Zagreb index, F-index, Hyper-Zagreb index, Symmetric Division Degree index, reformulated F-index of three graph constructions such as k—Fold graphs, k—Splitting graphs, k—Shadow graphs of a graph are obtained.
G Mohanappriya, D. Vijayalakshmi
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General Fifth M-Zagreb Indices and Fifth M-Zagreb Polynomials of PAMAM Dendrimers

International Journal of Fuzzy Mathematical Archive, 2017
A molecular graph or a chemical graph is a simple graph related to the structure of a chemical compound. In this paper, we introduce the general fifth M-Zagreb indices and fifth M3-Zagreb index and their polynomials of a molecular graph. Also we compute the general fifth M-Zagreb indices and fifth M3-Zagreb index of PAMAM dendrimer graphs.
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Computing the First and Third Zagreb Polynomials of Cartesian Product of Graphs

2011
Let G be a graph. The first Zagreb polynomial M1(G, x) and the third Zagreb polynomial M3(G, x) of the graph G are defined as:     ( ) ( , ) [ ] e uv E G G x x d(u) + d(v) M1 , ( , )  euvE(G) G x x|d(u) - d(v)| M3 . In this paper, we compute the first and third Zagreb polynomials of Cartesian product of two graphs and a type of dendrimers.
ASTANEH-ASL, A., FATH-TABAR, GH.
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Algebraic method for characteristic Edge-Zagreb and Laplacian polynomials of graphs

2020
Summary: Polynomials corresponding to graphs and their roots have many applications including the energy defined algebraically by means of the adjacency matrix which is defined as a \(0-1\) matrix according to the neighbouring relations of vertices.
CANGÜL, İSMAİL NACİ, ÖZ, MERT SİNAN   +1 more
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M-Polynomials and Zagreb Indices for i-Iterated Subdivided-Line Graphs

Match Communications in Mathematical and in Computer Chemistry
The i-iterated subdivided-line graph Γi(G) of a base graph G is the graph obtained from G by iteratively applying the subdividedline graph operation i times. The M-polynomial of a graph G is a bivariate polynomial that encodes the degree-based properties of G.
Vitor S. Ponciano, Diego Pacheco, Simone Dantas, Alessandra B. Verissimo   +3 more
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Harmonic and Zagreb Polynomials and Their Applications on Chemical Nano-Structures

Advances in Nonlinear Variational Inequalities
The graph ???? consists of an ordered pair (????, ????), where ???? represents a nonempty set of elements called vertices for graph ????, and ???? is a family of unordered pairs that may be free of vertices in graph ???? and is called edges for graph ????.
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On Domination Zagreb Polynomials of Graphs and Some Graph Operations

International Journal of Mathematics Trends and Technology, 2022
Ashwini A. S, Hanan Ahmed, Soner Nandappa D   +2 more
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Computation of Zagreb Polynomials and Zagreb Indices for Benzenoid Triangular & Hourglass System

Polycyclic Aromatic Compounds, 2023
Yu-Ming Chu, Abdul Ghaffar, Mustafa Inc
exaly  

Second leap hyper-Zagreb coindex of certain benzenoid structures and their polynomials

Computational and Theoretical Chemistry, 2023
Karnika Sharma, Vijay Kumar Bhat, Jia-Bao Liu   +2 more
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Characterizing superlattice topologies via fifth M-Zagreb polynomials and structural indices

The European Physical Journal Plus, 2023
Hani Shaker, Sabeen Javaid, Usman Babar, Muhammad Kamran Siddiqui, Asim Naseem   +4 more
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