Entesar Mohamed El-Kholy and H. Ahmed
In this paper we examining the relation between graph folding of a given graph and folding of new graphs obtained from this graph by some techniques like dual, gear, subdivision, web, crown, simplex, crossed prism and clique sum graphs. In each case, we obtained the necessary and sufficient conditions, if exist, for these new graphs to be folded. A simplex graph κ (G ) of an undirected graph G is itself a graph with a vertex for each clique in G . Two vertices of κ (G ) are joined by an edge whenever the corresponding two cliques differ in the presence or absence of a single vertex. The single vertices are called the zero vertices
Ayele Tulu and Wubshet Ibrahim
In this paper, the problem of unsteady two-dimensional mixed convection heat, mass transfer flow of nanofluid past a moving wedge embedded in porous media is considered. The effects of nanoparticle volume fraction, thermal radiation, viscous dissipation, chemical reaction, and convective boundary condition are studied. The physical problem is modeled using partial differential equations. The transformed dimensionless system of coupled nonlinear ordinary differential equations is then solved numerically using Spectral Quasi Linearization Method (SQLM). Effects of various parameters on velocity, temperature and concentration distributions as well as skin friction coefficient, local Nusselt number and local Sherwood number are shown using table and graphical representations. The results reveal that the nano fluid velocity and temperature profiles reduce with increasing the values of nanoparticle volume fraction. Greater values of temperature and concentration distributions are observed in the steady flow than unsteady flow. The skin friction coefficient and local Sherwood number are increasing functions while the local Nusselt number is a decreasing function of nanoparticle volume fraction, permeability parameter, Eckert number, Dufour number, and Soret number. The obtained solutions are checked against the previously published results and a very good agreement have been obtained.
DOI: 10.37421/2168-9679.2024.13.580
Fekadu Tolessa Gedefa*
This paper proves the log-concavity of polygonal and centered polygonal figurate number sequences and derives two recurrence formulas for these sequences. The log-concavity property is established by examining the second-order difference between consecutive terms, showing its non-negativity. The derived recurrence relations offer a practical method to compute subsequent terms based on previous ones. The proofs for both the log-concavity property and the recurrence formulas are provided, enhancing our understanding of these sequences and their mathematical properties.
Journal of Applied & Computational Mathematics received 1282 citations as per Google Scholar report
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