Results 31 to 40 of about 504 (100)

Non-commuting graph of the dihedral group determined by Hosoya parameters

open access: yesAlexandria Engineering Journal, 2022
Hosoya introduced the concept of graph terminologies in chemistry and provide a modeling for molecules. This modeling leads to predict the chemical properties of molecules, easy classification of chemical compounds, computer simulations and computer ...
Muhammad Salman   +4 more
doaj   +1 more source

Some inequalities for the multiplicative sum Zagreb index of graph operations

open access: yes, 2015
The multiplicative sum Zagreb index is defined for a simple graph G as the product of the terms dG(u)+dG(v) over all edges uv∈E(G) , where dG(u) denotes the degree of the vertex u of G .
M. Azari, A. Iranmanesh
semanticscholar   +1 more source

On Order Prime Divisor Graphs of Finite Groups

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
The order prime divisor graph 𝒫𝒟(G) of a finite group G is a simple graph whose vertex set is G and two vertices a, b ∈ G are adjacent if and only if either ab = e or o(ab) is some prime number, where e is the identity element of the group G and o(x ...
Sen Mridul K.   +2 more
doaj   +1 more source

A STUDY OF INERTIA INDICES, SIGNATURE AND NULLITY OF V-PHENYLENIC $[m,n]$

open access: yes, 2020
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
semanticscholar   +1 more source

Bounds for The Geometric-Arithmetic Index of a Graph

open access: yes, 2015
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
semanticscholar   +1 more source

$M$-POLYNOMIALS AND TOPOLOGICAL INDICES OF SILICATE AND OXIDE NETWORKS

open access: yes, 2017
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
semanticscholar   +1 more source

Weakly threshold graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2018
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
doaj   +1 more source

LINE REGULAR FUZZY SEMIGRAPHS

open access: yesمجلة بغداد للعلوم, 2023
           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
doaj   +1 more source

On the Harary index of graph operations

open access: yes, 2013
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
semanticscholar   +1 more source

Open k-monopolies in graphs: complexity and related concepts [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2016
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
doaj   +1 more source

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