We study a new family of geometric graphs that interpolate between the Delaunay triangulation and the Gabriel graph. These graphs share many properties with β- skeletons for β ε 2 [0; 1] (such as sublinear spanning ratio) with the added benefit of planarity (and consequently linear size and local routability)
We study Hamiltonicity for some of the most general variants of Delaunay and Gabriel graphs. Instead...
We study Hamiltonicity for some of the most general variants of Delaunay and Gabriel graphs. Instead...
A plane geometric graph C in < 2 conforms to another such graph G if each edge of G is the union ...
The spanning ratio of a graph defined on n points in the Euclidean plane is the maximum ratio over a...
AbstractThis paper presents a novel two-parameter geometric graph, the γ-neighborhood graph. This gr...
We consider two classes of higher order proximity graphs defined on a set of points in the plane, na...
We consider two classes of higher order proximity graphs defined on a set of points in the plane, na...
This paper presents a novel two-parameter geometric graph, the -neighborhood graph. This graph unifi...
A geometric graph is angle-monotone if every pair of vertices has a path between them that—after som...
International audienceGabriel Graphs are subgraphs of Delaunay graphs that are used in many domains ...
This work presents two generalizations of the algorithm for obtaining a constrained Delaunay trian...
A geometric graph is angle-monotone if every pair of vertices has a path between them that—after som...
Delaunay and Gabriel graphs are widely studied geo-metric proximity structures. Motivated by applica...
Let be a set of points in the plane. A geometric graph on is said to be locally Gabriel if for every...
A geometric graph is angle-monotone if every pair of vertices has a path between them that---after s...
We study Hamiltonicity for some of the most general variants of Delaunay and Gabriel graphs. Instead...
We study Hamiltonicity for some of the most general variants of Delaunay and Gabriel graphs. Instead...
A plane geometric graph C in < 2 conforms to another such graph G if each edge of G is the union ...
The spanning ratio of a graph defined on n points in the Euclidean plane is the maximum ratio over a...
AbstractThis paper presents a novel two-parameter geometric graph, the γ-neighborhood graph. This gr...
We consider two classes of higher order proximity graphs defined on a set of points in the plane, na...
We consider two classes of higher order proximity graphs defined on a set of points in the plane, na...
This paper presents a novel two-parameter geometric graph, the -neighborhood graph. This graph unifi...
A geometric graph is angle-monotone if every pair of vertices has a path between them that—after som...
International audienceGabriel Graphs are subgraphs of Delaunay graphs that are used in many domains ...
This work presents two generalizations of the algorithm for obtaining a constrained Delaunay trian...
A geometric graph is angle-monotone if every pair of vertices has a path between them that—after som...
Delaunay and Gabriel graphs are widely studied geo-metric proximity structures. Motivated by applica...
Let be a set of points in the plane. A geometric graph on is said to be locally Gabriel if for every...
A geometric graph is angle-monotone if every pair of vertices has a path between them that---after s...
We study Hamiltonicity for some of the most general variants of Delaunay and Gabriel graphs. Instead...
We study Hamiltonicity for some of the most general variants of Delaunay and Gabriel graphs. Instead...
A plane geometric graph C in < 2 conforms to another such graph G if each edge of G is the union ...