— We introduce a method for constructing provably safe smooth feedback laws for car-like robots in obstaclecluttered polygonal environments. The robot is taken to be a point with...
We consider several private database query problems. The starting point of this work is the element rank problem: the server holds a database of n integers, and the user an integer...
Motivated by very/ultra large scale integrated circuit (VLSI/ULSI) physical design applications, we study the construction of rectilinear minimum spanning tree (RMST) with its maxi...
Yin Wang, Xianlong Hong, Tong Jing, Yang Yang, Xia...
The Tile Assembly Model is a Turing universal model that Winfree introduced in order to study the nanoscale self-assembly of complex (typically aperiodic) DNA crystals. Winfree ex...
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...