4 papers
On the approximability of graph visibility problems
Davide Bilò, Alessia Di Fonso, Gabriele Di Stefano +1
Visibility problems have been investigated for a long time under different assumptions as they pose challenging combinatorial problems and are connected to robot navigation problem…
An optimal algorithm for geodesic mutual visibility on hexagonal grids
Sahar Badri, Serafino Cicerone, Alessia Di Fonso +1
For a set of robots (or agents) moving in a graph, two properties are highly desirable: confidentiality (i.e., a message between two agents must not pass through any intermediate a…
Mutual visibility in hypercube-like graphs
Serafino Cicerone, Alessia Di Fonso, Gabriele Di Stefano +2
Let be a graph and . Then, vertices and of are -visible if there exists a shortest -path where no internal vertices belong to . The set…
Time-optimal geodesic mutual visibility of robots on grids within minimum area
Serafino Cicerone, Alessia Di Fonso, Gabriele Di Stefano +1
The \textsc{Mutual Visibility} is a well-known problem in the context of mobile robots. For a set of robots disposed in the Euclidean plane, it asks for moving the robots witho…