Department of Mathematics
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Characterization of a Bipartite Graph and Its Hamiltonicity
(Universities Research Journal (URJ), 2008)In this paper, the characterization of a bipartite graph will be first described by using the definitions of cycle, Hamiltonian cycle, odd cycle, and chromatic number in a graph. Then the conditions for a bipartite graph ... 
ArcDisjoint Path Pair (APP) Problem
(Universities Research Journal (URJ), 2008)Let G (V, A) be a directed network containing n nodes vЄ V and m arcs (i, j) Є A, each with a nonnegative length. In this paper arcdisjoint path pair problem is considered, which is to find a pair of arcdisjoint paths ... 
Applications of Eulerian Path and Tour
(Universities Research Journal (URJ), 2008)A path in a graph is an Eulerian path if every edge of the graph appears as an edge in the path exactly once. A closed Eulerian path is an Eulerian tour. A graph is said to be an Eulerian graph if it has an Eulerian tour. ... 
A Study on Steady State DriftDiffusion Model for Semiconductors.
(Universities Research Journal (URJ), 2008)In this paper we discuss the derivation of DriftDiffusion Model by using Maxwell's equations, Poisson's equation and continuity equations for semiconductors. We also study the existence and uniqueness of solution in steady state.