most citedOn the Stretch Factor of Convex Delaunay Graphs

3 citations · 9 across the 8 of their papers we have counts for

collaborators

8 papers

cs.CG2008

Communication-Efficient Construction of the Plane Localized Delaunay Graph

Prosenjit Bose, Paz Carmi, Michiel Smid +1

Let be a finite set of points in the plane. We present a 2-local algorithm that constructs a plane -spanner of the unit-disk graph $\UDG(V)$. This algori…

cs.DS2008

NAPX: A Polynomial Time Approximation Scheme for the Noah's Ark Problem

G. Hickey, P. Carmi, A. Maheshwari +1

The Noah's Ark Problem (NAP) is an NP-Hard optimization problem with relevance to ecological conservation management. It asks to maximize the phylogenetic diversity (PD) of a set o…

math.CO2008

Distinct Distances in Graph Drawings

Paz Carmi, Vida Dujmović, Pat Morin +1

The \emph{distance-number} of a graph is the minimum number of distinct edge-lengths over all straight-line drawings of in the plane. This definition generalises many well-…

cs.CG20083 cited

On the Stretch Factor of Convex Delaunay Graphs

Prosenjit Bose, Paz Carmi, Sebastien Collette +1

Let C be a compact and convex set in the plane that contains the origin in its interior, and let S be a finite set of points in the plane. The Delaunay graph DG_C(S) of S is define…

cs.CG20081 cited

Spanners of Additively Weighted Point Sets

Prosenjit Bose, Paz Carmi, Mathieu Couture

We study the problem of computing geometric spanners for (additively) weighted point sets. A weighted point set is a set of pairs where is a point in the plane and

cs.CG20071 cited

Spanners of Complete -Partite Geometric Graphs

Prosenjit Bose, Paz Carmi, Mathieu Couture +3

We address the following problem: Given a complete -partite geometric graph whose vertex set is a set of points in , compute a spanner of that has a ``…