5 papers
The Online Broadcast Range-Assignment Problem
Mark de Berg, Aleksandar Markovic, Seeun William Umboh
Let be a set of points in , modeling devices in a wireless network. A range assignment assigns a range to each point , t…
Non-Monochromatic and Conflict-Free Coloring on Tree Spaces and Planar Network Spaces
Boris Aronov, Mark de Berg, Aleksandar Markovic +1
It is well known that any set of n intervals in admits a non-monochromatic coloring with two colors and a conflict-free coloring with three colors. We investigate ge…
Rectilinear Link Diameter and Radius in a Rectilinear Polygonal Domain
Elena Arseneva, Man-Kwun Chiu, Matias Korman +5
We study the computation of the diameter and radius under the rectilinear link distance within a rectilinear polygonal domain of vertices and holes. We introduce a \emph{gr…
Dynamic Conflict-Free Colorings in the Plane
Mark de Berg, Aleksandar Markovic
We study dynamic conflict-free colorings in the plane, where the goal is to maintain a conflict-free coloring (CF-coloring for short) under insertions and deletions. - First we con…
Fully-Dynamic and Kinetic Conflict-Free Coloring of Intervals with Respect to Points
Mark de Berg, Tim Leijsen, André van Renssen +3
We introduce the fully-dynamic conflict-free coloring problem for a set of intervals in with respect to points, where the goal is to maintain a conflict-free col…