We show that if the Boolean hierarchy collapses to level k, then the polynomial hierarchy collapses to BH3(k), where BH3(k) is the kth level of the Boolean hierarchy over P 2 . Th...
We present different techniques for reducing the number of states and transitions in nondeterministic automata. These techniques are based on the two preorders over the set of st...
Nonlinear dimensionality reduction methods often rely on the nearest-neighbors graph to extract low-dimensional embeddings that reliably capture the underlying structure of high-d...
The problem of dividing a sequence of values into segments occurs in database systems, information retrieval, and knowledge management. The challenge is to select a finite number ...
In this paper, we study a minimum Connected Dominating Set problem (CDS) in wireless networks, which selects a minimum CDS with property that all intermediate nodes inside every pa...