Browsing Department of Mathematics Staff Publications by Title

Now showing items 12-14 of 14

Unsteady contact melting of a rectangular cross section material on a flat plate.

Myer, T G; Mitchell, S L; Muchatibaya, Gift (American Institute of Physics, 2008-10-06)

The work in this paper concerns a mathematical model of the contact melting process of a rectangular material in contact with a hot plate. The problem is described by a coupled system of heat equations in the solid and ...
An Upper Bound on the Radius of a 3-Vertex-Connected C4-Free Graph

Fundikwa, Blessings T.; Mazorodze, Jaya P.; Mukwembi, Simon (HINDAWI, 2020-08-04)

Let G=(V,E) be a finite, connected, undirected graph with vertex set V and edge set E. -e distance dG (u,v) between two vertices u, v of G is the length of a shortest u-v path in G.-e eccentricity ec(v)of a vertex v∈V is ...
Upper Bounds on the Diameter of Bipartite and Triangle-Free Graphs with Prescribed Edge Connectivity

Fundikwa, Blessings T.; Mazorodze, Jaya P.; Mukwembi, Simon (HINDAWI, 2020-09-03)

Graph theory is used to study the mathematical structures of pairwise relations among objects. Mathematically, a pair G=(V,E) is a crisp graph, where V is a nonempty set and E is a relation on V[1]. -e order of a graph G ...