Results 31 to 40 of about 530 (118)
$M$-POLYNOMIALS AND TOPOLOGICAL INDICES OF SILICATE AND OXIDE NETWORKS
A topological index is a numeric quantity that characterizes the whole structure of a molecular graph of the chemical compound and helps to understand its physical features, chemical reactivities and boiling activities.
M. Javaid, C. Jung
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A STUDY OF INERTIA INDICES, SIGNATURE AND NULLITY OF V-PHENYLENIC $[m,n]$
A molecular/chemical graph is hydrogen depleted chemical structure in which vertices denote atoms and edges denote the bonds. Topological descriptors are the numerical indices based on the topology of the atoms and their bonds (chemical conformation ...
Zheng-Qing Chu +3 more
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Eccentric topological properties of a graph associated to a finite dimensional vector space
A topological index is actually designed by transforming a chemical structure into a number. Topological index is a graph invariant which characterizes the topology of the graph and remains invariant under graph automorphism.
Liu Jia-Bao +5 more
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Bounds for The Geometric-Arithmetic Index of a Graph
The first geometric-arithmetic index GA1.G/, which was introduced by D. Vukičević and B. Furtula recently, is a graph-based molecular structure descriptor.
J. Sigarreta
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Symmetric Bipartite Graphs and Graphs with Loops
We show that if the two parts of a finite bipartite graph have the same degree sequence, then there is a bipartite graph, with the same degree sequences, which is symmetric, in that it has an involutive graph automorphism that interchanges its two parts.
Cairns, Grant, Mendan, Stacey
core +3 more sources
The upper bounds for multiplicative sum Zagreb index of some graph operations
Let G be a simple graph with vertex set V(G) and edge set E(G). In [7], Eliasi et al. introduced the multiplicative sum Zagreb index of a graph G which is denoted by Π1(G) and is defined by Π1(G) = ∏ uv∈V (G) (dG(u)+dG(v)) .
Yasar Nacaroglu, A. D. Maden
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We define a weakly threshold sequence to be a degree sequence $d=(d_1,\dots,d_n)$ of a graph having the property that $\sum_{i \leq k} d_i \geq k(k-1)+\sum_{i > k} \min\{k,d_i\} - 1$ for all positive $k \leq \max\{i:d_i \geq i-1\}$.
Michael D. Barrus
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This paper introduce two types of edge degrees (line degree and near line degree) and total edge degrees (total line degree and total near line degree) of an edge in a fuzzy semigraph, where a fuzzy semigraph is defined as (V, σ, μ, η ...
ARCHANA S., PREETHI KUTTIPULACKAL
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On the Harary index of graph operations
The Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. In this paper, expressions for the Harary indices of the join, corona product, Cartesian product, composition and disjunction of graphs
K. Das +4 more
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Open k-monopolies in graphs: complexity and related concepts [PDF]
Closed monopolies in graphs have a quite long range of applications in several problems related to overcoming failures, since they frequently have some common approaches around the notion of majorities, for instance to consensus problems, diagnosis ...
Dorota Kuziak +2 more
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