We present an edge labeling of order-k Voronoi diagrams, Vk(S), of point sets S in the plane, and study properties of the regions defined by them. Among them, we show that Vk(S) has a small orientable cycle and path double cover, and we identify configurations that cannot appear in V3(S).Postprint (published version
We study the amortized number of combinatorial changes (edge insertions and removals) needed to upda...
Abstract The Voronoi diagram of n distinct generating points divides theplane into cells, each of wh...
AbstractThe Voronoi diagram of a set of weighted points (sites) whose visibilities are constrained b...
Languages and Programming (ICALP’13), pp. 208–219, 2013. Given a set S of n point sites in the Eucli...
The classic Voronoi diagram of a configuration of distinct points in the plane associates to each po...
Abstract. In this note we prove some facts about the number of segments of a bisector of two sites t...
In this thesis we study properties for spherical Voronoi diagrams of order $k$, SV_k(U)$ using diffe...
We study the amortized number of combinatorial changes (edge insertions and removals) needed to upda...
We study the amortized number of combinatorial changes (edge insertions and removals) needed to upda...
We show that the Voronoi diagram of a finite sequence of points in the plane which gives sorted orde...
Given a set of n sites in the plane, the order-k Voronoi diagram is a planar subdivision such that a...
The ordered order-k Voronoi diagram is a popular generalization of the ordinary Voronoi diagram mode...
For a given set of points U on a sphere S, the order k spherical Voronoi diagram SV_k(U) decomposes ...
Higher-order Voronoi diagrams are fundamental geometric structures which encode the k-nearest neighb...
Voronoi diagrams of curved objects can show certain phenomena that are often considered artifacts: T...
We study the amortized number of combinatorial changes (edge insertions and removals) needed to upda...
Abstract The Voronoi diagram of n distinct generating points divides theplane into cells, each of wh...
AbstractThe Voronoi diagram of a set of weighted points (sites) whose visibilities are constrained b...
Languages and Programming (ICALP’13), pp. 208–219, 2013. Given a set S of n point sites in the Eucli...
The classic Voronoi diagram of a configuration of distinct points in the plane associates to each po...
Abstract. In this note we prove some facts about the number of segments of a bisector of two sites t...
In this thesis we study properties for spherical Voronoi diagrams of order $k$, SV_k(U)$ using diffe...
We study the amortized number of combinatorial changes (edge insertions and removals) needed to upda...
We study the amortized number of combinatorial changes (edge insertions and removals) needed to upda...
We show that the Voronoi diagram of a finite sequence of points in the plane which gives sorted orde...
Given a set of n sites in the plane, the order-k Voronoi diagram is a planar subdivision such that a...
The ordered order-k Voronoi diagram is a popular generalization of the ordinary Voronoi diagram mode...
For a given set of points U on a sphere S, the order k spherical Voronoi diagram SV_k(U) decomposes ...
Higher-order Voronoi diagrams are fundamental geometric structures which encode the k-nearest neighb...
Voronoi diagrams of curved objects can show certain phenomena that are often considered artifacts: T...
We study the amortized number of combinatorial changes (edge insertions and removals) needed to upda...
Abstract The Voronoi diagram of n distinct generating points divides theplane into cells, each of wh...
AbstractThe Voronoi diagram of a set of weighted points (sites) whose visibilities are constrained b...