-When designing wireless sensor networks, the process of establishing and distributing the secret keys securely and efficiently is very challenging due to the unpredictable network topology. Recently, hypercube virtual backbone approach has been used to provide efficient data gathering schemes for the wireless sensor networks. The hypercube attractive structure and topological properties provid...

Consider a d-dimensional closed ball B whose center coincides with that of the hypercube [0, 1]d. Pick radius in such way vertices are outside and midpoints its edges interior B. It is known that, when d ≥ 3, (d − 1)-dimensional volume H∩[0, 1]d, where H hyperplane ℝd tangent to B, largest possible if only orthogonal diagonal hypercube. shown here same holds 5 but required contain centers squar...

In this paper we present randomized algorithms for selection on the hypercube. We identify two variants of the hypercube namely, the sequential model and the parallel model. In the sequential model, any node at any time can handle only communication along a single incident edge, whereas in the parallel model a node can communicate along all its incident edges at the same time. We specify three ...

In this paper we present randomized algorithms for selection on the hypercube. We identify two variants of the hypercube namely, the sequential model and the parallel model. In the sequential model, any node at any time can handle only communication along a single incident edge, whereas in the parallel model a node can communicate along all its incident edges at the same time. We specify three ...