Abstract— There is a growing interest in building Internetscale sensor networks that integrate sensors from around the world into a single unified system. In contrast, robotics ...
We proved that every planar triangle-free graph with n vertices has a subset of vertices that induces a forest of size at least (71n + 72)/128. This improves the earlier work of S...
Using the saddle point method, we obtain from the generating function of the Stirling numbers of the first kind n j and Cauchy's integral formula, asymptotic results in centr...
We find the asymptotic number of 2-orientations of quadrangulations with n inner faces, and of 3orientations of triangulations with n inner vertices. We also find the asymptotic n...
A direct product of two words is a naturally defined word on the alphabet of pairs of symbols. We introduce the class URP of uniformly recurrent words such that a direct product o...