EducaNext is an educational mediator created within the UNIVERSAL IST Project which supports both, the exchange of reusable educational materials based on open standards, as well ...
The high repair cost of (n, k) Maximum Distance Separable (MDS) erasure codes has recently motivated a new class of codes, called Regenerating Codes, that optimally trade off stor...
If two distance-3 codes have the same neighborhood, then each of them is called a mobile set. In the (4k + 3)-dimensional binary hypercube, there exists a mobile set of cardinality...
Yuriy Vasil'ev, Sergey V. Avgustinovich, Denis S. ...
We prove existence and uniqueness of the minimizer for the average geodesic distance to the points of a geodesically convex set on the sphere. This implies a corresponding existen...
We present fast algorithms for constructing probabilistic embeddings and approximate distance oracles in sparse graphs. The main ingredient is a fast algorithm for sampling the pr...