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On the reduced second Zagreb index of trees

Asian-European Journal of Mathematics, 2017
The current note is devoted to investigate the trees, which maximize or minimize the reduced second Zagreb index among all [Formula: see text]-vertex trees with fixed number of segments. This note also involves development of some results, which may be used to characterize the extremal trees with respect to the aforementioned index among all [Formula:
Saba Shafique, Akbar Ali
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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.
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Sharp Bounds for the Second Zagreb Index of Unicyclic Graphs

Journal of Mathematical Chemistry, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan, Zheng, Liu, Huiqing, Liu, Heguo
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Bounds on the modified second Zagreb index

Discrete Applied Mathematics
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Akbar Ali   +4 more
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New lower bounds for the second variable Zagreb index

Journal of Combinatorial Optimization, 2018
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Álvaro Martínez-Pérez   +1 more
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The minimum second Zagreb eccentricity index of graphs with parameters

Discrete Applied Mathematics, 2020
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Unicyclic and bicyclic graphs with maximum exponential second Zagreb index

Discrete Applied Mathematics, 2022
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General reduced second Zagreb index of graph operations

Asian-European Journal of Mathematics, 2020
Let [Formula: see text] be a graph with vertex set [Formula: see text] and edge set [Formula: see text]. The general reduced second Zagreb index of [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is any real number and [Formula: see text] is the degree of the vertex [Formula: see text] of [Formula: see text].
R. Khoeilar, A. Jahanbani
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On the Second Zagreb Index of Triangular Cycle Graphs

9th International Students Science Congress Proceedings Book
This study investigates the second Zagreb index 2 M G( ) of triangular cycle graphs, derived from the geometric arrangement of triangular numbers. The second Zagreb index, defined as the sum of the products of vertex degrees for adjacent vertices, provides insights into edge-based connectivity and branching patterns.
Ümit Sarp, Bilal Demir, Ahmet Emin
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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.
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