We present a collection of algorithms which are used to construct Hamiltonian paths
and cycles in hypercube networks with faulty nodes. In graph theoretical terms, the
hypercube is a connected, undirected graph composed of edges and nodes, or...
Let X and Z be topological spaces and Y be a subspace of X. A con-
tinuous function f : Y ! Z is extendable to X if there exists a continuous
function f : X ! Z such that f(x) = f(x) for all x 2 Y . If every continuous
function f : Y ! Z is...
What began as a competition to appease a member of royalty's birthday wishes, continued on to not only introduce an entirely new area of mathematical studies but also to leave one particular question to remain without a complete and substantiated...
Surface Fitting is useful to researchers in fields from engineering to medicine. The expertise of mathematicians is needed to help with the analysis of data to help the experts in those fields draw appropriate conclusions. The research that this...