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 …

(I) We exhibit a set of 23 points in the plane that has dilation at least 1. 4 3 0 8, improving the
previous best lower bound of 1. 4 1 6 1 for the worst-case dilation of plane spanners.(II) For …

Let ${\cal P} $ be a set of $ n $ points embedded in the plane, and let ${\cal C} $ be the
complete Euclidean graph whose point-set is ${\cal P} $. Each edge in ${\cal C} $ between …

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 …

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 …

Let δ 0 (P, k) denote the degree k dilation of a point set P in the domain of plane geometric
spanners. If Λ is the infinite square lattice, it is shown that 1+ 2≤ δ 0 (Λ, 3)≤(3+ 2 2) 5− 1/2 …

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

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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