In the application area of frequency assignment graphs are used to model the topology and mutual interference between transmitters. The problem in practice is to assign a limited number of frequency c...
The exponential sum associated with f is defined aswhere the sum is taken over a complete set of residues modulo q and let x = (x1, x2, ... , xn) be a vector in the space Zn with Z ring of integers an...
A connected graph G is primitive provided there exists a positive integer k such that for each pair of vertices u and v in G there is a walk of length k connecting u and v. The smallest of such positi...
In [3], Orin Chein defined and constructed a class of Moufang loops called the M(G, 2) with a product rule which is rather complicated. We provide an alternative definition ofM(G, 2) with a much simpl...
The classical Newton polygon is a device for computing the fractional power series expansions of algebraic functions. Newton gave a number of examples of this process in his ”Method of Fluxions” which...
A computer program is developed using Microsoft Visual C++ in theWindows environment. This program focuses on two specific finite Abelian groups, which are the group Zn under addition modulo n and the...
Equationis a delay partial differential equation with an arbitrary functional G. Group analysis method is applied to find symmetries of the equation and to make group classification. Representations o...
The Sumatra-Andaman earthquake of magnitude 9.3 on the Richter scale occurred on 26 December 2004. It triggered off a series of tsunami waves that caused tremendous damage to the properties and lives ...
The effect of a time delay on the transmission on dengue fever is studied. The time delay is due to the presence of an incubation period during which the virus replicates enough in the mosquito so tha...
In an earlier paper, we modeled the propagation of waves across the deep oceans due to tsunami created from an earthquake that occurred around Banda Aceh, Indonesia on December 26, 2004 by means of an...
The tsunami of December 26, 2004 was devastating in its effect on the island of Penang. A numerical model based on the linear shallow-water equations in cylindrical polar coordinate system was discuss...
The linear delay ordinary differential equationy”(x) + a(x) y'(x) + b(x) y'(x −τ ) + c(x) y(x) + d(x) y(x −τ ) = g(x)is studied, where the coefficients a(x),b(x), c(x) and d(x) and function g(x) are a...