Degree affinity number of certain \(2\)-regular graphs
ODAM-Vol. 3 (2020), Issue 3, pp. 77 – 84 Open Access Full-Text PDF
Johan Kok
Abstract: This paper furthers the study on a new graph parameter called the degree affinity number. The degree affinity number of a graph \(G\) is obtained by iteratively constructing graphs, \(G_1,G_2,\dots,G_k\) of increased size by adding a maximal number of edges between distinct pairs of distinct vertices of equal degree. Preliminary results for certain \(2\)-regular graphs are presented.
Approximate solution of nonlinear ordinary differential equation using ZZ decomposition method
OMS-Vol. 4 (2020), Issue 1, pp. 448 – 455 Open Access Full-Text PDF
Mulugeta Andualem, Atinafu Asfaw
Abstract: Nonlinear initial value problems are somewhat difficult to solve analytically as well as numerically related to linear initial value problems as their variety of natures. Because of this, so many scientists still searching for new methods to solve such nonlinear initial value problems. However there are many methods to solve it. In this article we have discussed about the approximate solution of nonlinear first order ordinary differential equation using ZZ decomposition method. This method is a combination of the natural transform method and Adomian decomposition method.
Weak implicative UP-filters of UP-algebras
OMS-Vol. 4 (2020), Issue 1, pp. 442 – 447 Open Access Full-Text PDF
Daniel A. Romano, Young Bae Jun
Abstract: The concept of weak implicative UP-filters in UP-algebras is introduced and analyzed. Some characterizations of weak implicative UP-filters are derived with the using of some other filter types in such algebras.
Exponential decay of solutions with \(L^{p}\) -norm for a class to semilinear wave equation with damping and source terms
OMA-Vol. 4 (2020), Issue 2, pp. 123 – 131 Open Access Full-Text PDF
Amar Ouaoua, Messaoud Maouni, Aya Khaldi
Abstract: In this paper, we consider an initial value problem related to a class of hyperbolic equation in a bounded domain is studied. We prove local existence and uniqueness of the solution by using the Faedo-Galerkin method and that the local solution is global in time. We also prove that the solutions with some conditions exponentially decay. The key tool in the proof is an idea of Haraux and Zuazua with is based on the construction of a suitable Lyapunov function.
On sufficient conditions for a graph to be \(k\)-path-coverable, \(k\)-edge-hamiltonian, Hamilton-connected, traceable and \(k^{-}\)-independent
ODAM-Vol. 3 (2020), Issue 3, pp. 66 – 76 Open Access Full-Text PDF
Junjiang Li, Guifu Su, Huichao Shi, Fuguo Liu
Abstract: The inverse degree of a graph was defined as the sum of the inverses of the degrees of the vertices. In this paper, we focus on finding sufficient conditions in terms of the inverse degree for a graph to be \(k\)-path-coverable, \(k\)-edge-hamiltonian, Hamilton-connected and traceable, respectively. The results obtained are not dropped.
Quantum mechanical methods for advancement of hydrophysical engineering
EASL-Vol. 3 (2020), Issue 4, pp. 55 – 59 Open Access Full-Text PDF
Jonah Lissner
Abstract: Quantum mechanical mathematical methods are utilized for theoretical engineering and testing of hydrocellular engineering for quantum computation criteria and quantum power engineering.
