Abstract
For the tensor product of paths, inverse majority neighborhood number
n
m
−1
(
G
) of
G
are determined in this paper. Also obtained some bounds for
G
=
P
n
⊗
P
m
.
Graph Energy Value Of IEEE-14 Bus System Paulraj Jayasimman, I; Jenitha, G; Gnanavel Chinnaraj, C ...
Journal of physics. Conference series,
05/2021, Letnik:
1850, Številka:
1
Journal Article
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Abstract
In this Research article the authors investigate minimum domination, neighbor-hood and Laplacian energy value of the line graph of IEEE-14 bus system in electric power networks. This paper ...presents a graph theoretic approach to solving the problem of placement of observations for the estimation of power system status. Estimation parameters for the IEEE 14 bus system. In this paper, a novel technique based on iterative stability-restricted optimum flow of power is suggested.
Inverse majority neighborhood number of a graph Jayasimman, I Paulraj; Dhivya, T; Manora, J Joseline
Journal of physics. Conference series,
12/2018, Letnik:
1139, Številka:
1
Journal Article
Recenzirano
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In this paper we have introduced a new parameter inverse majority neighborhood number of a graph nM−1(G) of G and this number determined for various classes of graphs. Bounds and its relationship ...with some other know parameter are also investigated. Majority Neighborhood set, Majority Neighborhood Number and Inverse Majority Neighborhood Number of a graph
Inverse Split Majority Dominating Set of a Graph Manora, J. Joseline; Vignesh, S.; Jayasimman, I. Paulraj
Communications in Mathematics and Applications,
01/2021, Letnik:
12, Številka:
4
Journal Article
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In this paper, we introduced an inverse split majority dominating set of a graph \(G\). Inverse split majority domination number \({\gamma }^{-1}_{SM}(G)\) is determined for some classes of graphs. ...Some important results and characterization theorems on \({\gamma }^{-1}_{SM}(G)\) are established. Many Bounds on inverse split majority domination number and its relationship with other domination parameters are also obtained.
A theoretical study of the new autocatalytic mechanisms (EC″) for irreversible homogeneous reaction on diffusion layer for steady-state conditions is provided. Emerging uses for this reaction system ...include energy recovery from surplus hydrogen and chloride reaction in hydrogen-halogen direct and regenerative fuel cells. The modelling of these mechanisms consists of solving the nonlinear diffusion equations. This paper uses a simple and new analytical procedure, the hyperbolic method, to solve the nonlinear reaction-diffusion equations. The concentration of redox components and the current response are expressed in closed-form as function reaction parameters, as well as the ratio of diffusion layer and reaction layer thickness. Analytical outcomes are compared with numerically simulated results to validate the model. Predictions of theoretical concentrations and Matlab-based numerical results show satisfactory agreement. These analytical findings enhance the comprehension of system behaviour. The system's parameters are optimised using the results of the analysis.
A theoretical model of the electroreduction of halogen oxoanions via autocatalytic redox mediation by halide anions is discussed. This autocatalytic process depends upon a system reaction-diffusion ...equation including a nonlinear term for homogeneous reactions. This study solves these equations using the robust and user-friendly analytical technique, the Akbari-Ganji method. The current and the redox component concentration are presented in terms of the rate constant. The influence of variables on current is examined using sensitivity analysis. The most important factor affecting current is the ratio between the bulk concentrations of halogen molecules and non-electroactive halogen oxoanions. The theoretically predicted results are compared with the numerical results. These approximate results enhance our understanding of system behavior.
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•Nonlinear equations in autocatalytic mechanism are solved using the AGM method.•The analytical expressions for the concentration species and current are reported.•The impact of the diffusion layer thickness and rate constant on current is analysed.•Analytical results are validated using simulation results.
In this paper we are discussing the QSPR analysis of certain theocratic graphic matrices and their corresponding energy. Our study reveals some important results that help define the useful ...mathematical parameter based on their power of predicting. Our analysis shows some significant findings that aid in characterizing the valuable Mathematical Parameter based on their predictive energy.
Mathematical Parameters are used in QSAR / QSPR analysis to estimate bioactivity of chemical compounds. Throughout this paper we are discussing the QSPR analysis of certain theocratic graph matrices ...and their corresponding energy. Our analysis reveals some important findings which help define the useful Mathematical Parameter based on their predictive energy.
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