Small-bias, or -biased, spaces have found many applications in complexity theory, coding theory, and derandomization. We generalize the notion of small-bias spaces to the setting ...
Using ε-bias spaces over F2, we show that the Remote Point Problem (RPP), introduced by Alon et al [APY09], has an NC2 algorithm (achieving the same parameters as [APY09]). We stu...
The notions of ultrametric distances and cyclic valuations appear when the set of values of the distance map is a cyclically ordered set. These structures can be described as subsp...
We propose a hierarchical optical path network design algorithm. In order to efficiently accommodate wavelength paths in each waveband path, we define a source-destination Cartesia...