The notion of distance is fundamental to many aspects of computational geometry. A classic
approach to characterize the distance properties of planar (and high-dimensional) point sets …

Let P be a finite set of points in the plane and S a set of non-crossing line segments with
endpoints in P. The visibility graph of P with respect to S, denoted Vis (P, S) Vis (P, S), has …

Let $ S $ be a finite set of points in the plane that are in convex position. We present an
algorithm that constructs a plane $\frac {3+ 4\pi}{3} $-spanner of $ S $ whose vertex degree …

Given a point set $ P $ in the Euclidean plane and a parameter $ t $, we define an\emph
{oriented $ t $-spanner} as an oriented subgraph of the complete bi-directed graph such that …

The construction of bounded-degree plane geometric spanners has been a focus of interest
since 2002 when Bose, Gudmundsson, and Smid proposed the first algorithm to construct …

Let $ S $ be a set of $ n $ points in the plane that is in convex position. In this paper, using
the well-known path-greedy spanner algorithm, we present an algorithm that constructs a …

Plane spanners of bounded degree are efficient communication backbones for networks.
However, while existing spanners provide attractive guarantees in the worst-case, they are …

Given a point set $ P $ in the Euclidean space, a geometric $ t $-spanner $ G $ is a graph on
$ P $ such that for every pair of points, the shortest path in $ G $ between those points is at …

The construction of bounded-degree plane geometric spanners has been a focus of interest
in the field of geometric spanners for a long time. To date, several algorithms have been …

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