Results 31 to 40 of about 572,605 (265)
Computing First Zagreb index and F-index of New C-products of Graphs [PDF]
Applied Mathematics and Nonlinear Sciences, 2017 Abstract For a (molecular) graph, the first Zagreb index is equal to the sum of squares of the degrees of vertices, and the F-index is equal to the sum of cubes of the degrees of vertices. In this paper, we introduce sixty four new operations on graphs and study the first Zagreb index and F-index of the resulting graphs.
Basavanagoud, B. +5 more
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On the vv-degree based first Zagreb index of graphs
AKCE International Journal of Graphs and CombinatoricsA topological index is a graph invariant applicable in chemistry. The first Zagreb index is a topological index based on the vertex degrees of molecular graphs. For any graph G, the first Zagreb index [Formula: see text] is equal to the sum of squares of
L. Anusha +2 more
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A Lower Bound of the First Zagreb Index and Some Hamiltonian Properties of Graphs
Annals of Pure and Applied MathematicsThe first Zagreb index of a graph is defined as the sum of the squares of the degrees of vertices in the graph. In this note, we present a lower bound for the first Zagreb index of a graph. Using that lower bound, we present sufficient conditions for the
Rao Li
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Inverse problem for the first entire Zagreb index [PDF]
, 2019 Summary: The inverse problem for topological graph indices is about the existence of a graph having its index value equal to a given non-negative integer. In this paper, we study the problem for the first entire Zagreb index. We will first show that the first entire Zagreb index must be even for any graph \(G\), and can take all positive even integer ...
CANGÜL, İSMAİL NACİ +2 more
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On the Bounds of the First Reformulated Zagreb Index [PDF]
Turkish Journal of Analysis and Number Theory, 2016 The edge version of traditional first Zagreb index is known as first reformulated Zagreb index. In this paper, we analyze and compare various lower and upper bounds for the first reformulated Zagreb index and we propose new lower and upper bounds which are stronger than the existing and recent results [Appl. Math. Comp. 273 (2016) 16-20].
T. Mansour +3 more
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Zagreb Connection Number Index of Nanotubes and Regular Hexagonal Lattice
Open Chemistry, 2019 Topological indices are the fixed numbers associated with the graphs. In recent years, mathematicians used indices to check the pharmacology characteristics and molecular behavior of medicines.
Ye Ansheng +6 more
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The star sequence and the general first Zagreb index [PDF]
, 2017 For a simple graph, we introduce a notion of the star sequence and prove that the star sequence and the frequently sequences of a graph are inverses of each other from a combinatorial point of view. As a consequence, we express the general first Zagreb index in terms of the star sequence.
Bedratyuk, Leonid, Savenko, Oleg
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Several graph properties in terms of the multiplicative version of the first Zagreb index
Discrete Applied MathematicsZhenghang Zhang +5 more
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MAXIMAL GRAPHS OF THE FIRST REVERSE ZAGREB BETA INDEX
, 2018 The reverse vertex degree of a vertex v of a simple connected graph G defined as; c(v) = Delta - d(v) + 1 where Delta denotes the largest of all degrees of vertices of G and d(v) denotes the number of edges incident to v. The first reverse Zagreb beta index of a simple connected graph G defined as; CM1 beta (G) = Sigma(uv is an element of E(G)) (c(u) +
Süleyman Ediz
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The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group
CAUCHY, 2023 Research on graphs combined with groups is an interesting topic in the field of combinatoric algebra where graphs are used to represent a group. One type of graph representation of a group is a power graph.
Evi Yunartika Asmarani +5 more
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