We propose a new `Mark-Ant-Walk' algorithm for robust and efficient covering of continuous domains by ant-like robots with very limited capabilities. The robots can mark plac...
Eliyahu Osherovich, Vladimir Yanovski, Israel A. W...
A tanglegram is a pair of trees on the same set of leaves with matching leaves in the two trees joined by an edge. Tanglegrams are widely used in biology – to compare evolutiona...
Balaji Venkatachalam, Jim Apple, Katherine St. Joh...
The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) (0, 1] such that no matter how we map the vertices of H into Rd , there is a point covered...
Jacob Fox, Mikhail Gromov, Vincent Lafforgue, Assa...
Abstract-- A distributed swarm aggregation algorithm is developed for a team of multiple kinematic agents. Specifically, each agent is assigned with a control law which is the sum ...
—Localizability of network or node is an important subproblem in sensor localization. While rigidity theory plays an important role in identifying several localizability conditio...