Results 231 to 240 of about 19,763,523 (261)

On the energy and the first Zagreb index of graphs

Asian-European Journal of Mathematics
Let [Formula: see text] be a graph of order [Formula: see text] and size [Formula: see text]. In this paper, we derive both lower and upper bounds for the energy of a graph in terms of the average of the [Formula: see text] singular values of [Formula: see text]. Using these results, we obtain lower and upper bounds for the graph energy in terms of the
L. Yashaswini, B. R. Rakshith, Swathi Shetty   +2 more
openaire   +1 more source

First Zagreb index and edge-vertex domination in trees

Discrete Mathematics, Algorithms and Applications
Let [Formula: see text] be a simple connected graph. The first Zagreb index denoted by [Formula: see text] is defined as [Formula: see text]. We present a lower bound for [Formula: see text] in terms of order and edge-vertex domination number for trees and characterized the extremal trees attaining the bound.
H. Naresh Kumar, B. Senthilkumar, S. Balachandran, Yanamandram B. Venkatakrishnan   +3 more
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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

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

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

Several graph properties in terms of the multiplicative version of the first Zagreb index

Discrete Applied Mathematics
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Zhenghang Zhang, Guifu Su, Xiaowen Qin, Junfeng Du, Weili Guo, Yue Wu   +5 more
openaire   +1 more source

On the first Zagreb index of digraphs

Applied Mathematics and Computation
Hongcong Xuan, Shaocong Wang, Jianfeng Wang, Yuxia Li   +3 more
openaire   +2 more sources

Bounds on the Zagreb Indices for Molecular (n,m)-Graphs

International Journal of Quantum Chemistry, 2020
Akbar Ali, Zahid Raza
exaly  

On Reformulated Zagreb Indices

Molecular Diversity, 2004
Sonja Nikolic, Ante Milicevic, Nenad Trinajstić   +2 more
exaly  

Computing Zagreb Indices and Zagreb Polynomials for Symmetrical Nanotubes

Symmetry, 2018
Muhammad Kamran Siddiqui, Muhammad Kamran Siddiqui, Zehui Shao   +2 more
exaly