Results 241 to 250 of about 572,605 (265)

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

Note on properties of first Zagreb index of graphs

2012
Let G be a graph. The first Zagreb M1(G) of graph G is defined as: M1(G) = uV(G) deg(u)2. In this paper, we prove that each even number except 4 and 8 is a first Zagreb index of a caterpillar. Also, we show that the fist Zagreb index cannot be an odd number. Moreover, we obtain the fist Zagreb index of some graph operations.
TAVAKOLI, M., RAHBARNIA, F.
openaire   +1 more source

On the first outdegree Zagreb index of a digraph

Discrete Mathematics
The paper provides a thorough exploration of the first outdegree Zagreb index $(Zg^+(D))$ for a directed graph $(D)$. The authors successfully establish various upper and lower bounds for $(Zg^+(D))$ in terms of the number of vertices $(n)$ and arcs $(a)$, offering a comprehensive understanding of the index's behavior.
Hilal A. Ganie, S. Pirzada
openaire   +1 more source

On first general Zagreb index of tournaments

Creative Mathematics and Informatics, 2021
\\"SHARIEFUDDIN SHARIEFUDDIN\\" PIRZADA, BILAL A. RATHER, TARIQ A. NAIKOO, TARIQ AHMAD CHISHTI   +3 more
openaire   +1 more source

An upper bound on the first Zagreb index in trees

2017
Summary: The first Zagreb index \(M_1(G)\) is equal to the sum of squares of the degrees of the vertices and the first Zagreb coindex \(\overline{M_1}(G)\) is equal to the sum of sums of vertex degrees of the pairs of non-adjacent vertices. In [ibid. 5, No. 1, 19--29 (2014; Zbl 1367.05053)], \textit{Ž. K. Vukićević} and \textit{G. Popivoda} proved that
Rasi, R., Sheikholeslami, S., Behmaram, A.   +2 more
openaire   +1 more source

A note on the first Zagreb index and coindex of graphs

, 2021
I. Milovanovic, M. Matejic, E. Milovanovic, R. Khoeilar   +3 more
semanticscholar   +1 more source

Sufficient conditions for k-leaf-connected graphs in terms of the first Zagreb index, the reciprocal degree distance and the forgotten topological index

Discrete Applied Mathematics
Mingqiang An, Yinan Zhang, Huiya Yan
semanticscholar   +1 more source

Lower bounds on the general first Zagreb index of graphs with low cyclomatic number

Discrete Applied Mathematics
N. Dehgardi, T. Došlić
semanticscholar   +1 more source

The relationship between the eccentric connectivity index and Zagreb indices

Discrete Applied Mathematics, 2013
Hongbo Hua
exaly  

On Zagreb indices, Zagreb polynomials of some nanostar dendrimers

Applied Mathematics and Computation, 2016
Muhammad Kamran Siddiqui, Muhammad Imran, Ali Ahmad   +2 more
exaly