We derive colour spaces of the hue-colourfulness-luminance type, on the basis of a four-dimensional hypercube I (I = [0, 1]). The hypercube corresponds to a tetrachromatic colour system, analogous to the three-dimensional RGB cube. In the first derived space the colourfulness is chromatic saturation while in the second one, colourfulness refers to the vividness of the colour, even if it is achr...

A robust version of the output controller design for discrete-time systems is introduced. Instead of a single stable point a stable polytope is preselected in the closed loop characteristic polynomial coefficient space. A constructive procedure for generating stable polytopes is given starting from the unit hypercube of reflection coefficients of monic polynomials. This procedure is quite strai...

Locally supported biorthogonal wavelets are constructed on the unit interval with respect to which second order constant coefficient differential operators are sparse. As a result, the representation of second order differential operators on the hypercube with respect to the resulting tensor product wavelet coordinates is again sparse. The advantage of tensor product approximation is that it yi...

Let (v, δ) be the set of all δ-regular graphs on v vertices. A graphG ∈ (v, δ) is trace-minimal in (v, δ) if the vector whose ith entry is the trace of the ith power of the adjacency matrix of G, is minimum under the lexicographic order among all such vectors corresponding to graphs in (v, δ). We consider the problem of maximizing the volume of an n-dimensional simplex consisting of n + 1 verti...

The hypercube-like networks are a class of important generalization of the popular hypercube interconnection networks for parallel computing. This paper is concerned with the fault-tolerant cycle embedding ability of a subclass of hypercube-like networks, called restricted hypercube-like networks (RHLNs, for short), which include most of the well-known hypercube variants, such as the twisted cu...

The binary hypercube, or n-cube, has been widely used as the interconnection network in parallel computers. However, the major drawback of the hypercube is the increase in the number of communication links for each node with the increase in the total number of nodes in the system. This paper introduces a new interconnection network for large-scale distributed memory multiprocessors called dual-...

Latin hypercube designs have been found very useful for designing computer experiments. In recent years, several methods of constructing orthogonal Latin hypercube designs have been proposed in the literature. In this article, we report some more results on Latin hypercube designs, including several new designs.

We present embeddings of generalized ladders as subgraphs into the hypercube. By embedding caterpillars into ladders, we obtain embeddings of caterpillars into the hypercube. In this way we obtain almost all known results concerning the embeddings of caterpillars into the hypercube. In addition we construct embeddings for some new types of caterpillars.

In this paper, we investigate the validity of the Unique Games Conjecture when the constraint graph is the boolean hypercube. We construct an almost optimal integrality gap instance on the Hypercube for the Goemans-Williamson semidefinite program (SDP) for Max-2-LIN(Z2). We conjecture that adding triangle inequalities to the SDP provides a polynomial time algorithm to solve Unique Games on the ...

In this paper we introduce a new interconnection network Fault Tolerant Hierarchical Interconnection network for parallel Computers denoted by FTH(k, 1).This network has fault tolerant hierarchical structure which overcomes the fault tolerant properties of Extended hypercube(EH).This network has low diameter, constant degree connectivity and low message traffic density in comparisons with other...