We give a new upper bound for the rectilinear crossing number cr(n) of the complete geometric graph Kn. We prove that cr(n) ≤ 0.380559 ¡n 4 ¢ + Θ(n3 ) by means of a new const...
We develop the theory of germs of generic functions in simple theories. Starting with an algebraic quadrangle (or other similar hypotheses), we obtain an "almost" generic...
As the scale of electronic devices shrinks, “electronic textiles” (e-textiles) will make possible a wide variety of novel applications which are currently unfeasible. Due to t...
In this paper, we present a randomized algorithm for the multipacket (i.e., k − k) routing problem on an n × n mesh. The algorithm completes with high probability in at the mos...
— We study the high-power asymptotic behavior of the sum-rate capacity of multi-user interference networks with an equal number of transmitters and receivers. We assume that each...