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STACS
2007
Springer
16 years 18 days ago
Compact Forbidden-Set Routing
We study the following problem. Given a weighted planar graph G, assign labels L(v) to vertices so that given L(u), L(v) and L(x) for x ∈ X for any X ⊂ V (G), compute the dist...
Bruno Courcelle, Andrew Twigg
COMPGEOM
2006
ACM
16 years 14 days ago
Random triangulations of planar point sets
Let S be a finite set of n + 3 points in general position in the plane, with 3 extreme points and n interior points. We consider triangulations drawn uniformly at random from the...
Micha Sharir, Emo Welzl
PODC
2005
ACM
16 years 1 days ago
On reliable broadcast in a radio network
— We consider the problem of reliable broadcast in an infinite grid (or finite toroidal) radio network under Byzantine and crash-stop failures. We present bounds on the maximum...
Vartika Bhandari, Nitin H. Vaidya
GD
2004
Springer
15 years 12 months ago
Intersection Reverse Sequences and Geometric Applications
Pinchasi and Radoiˇci´c [11] used the following observation to bound the number of edges of a topological graph without a self-crossing cycle of length 4: if we make a list of t...
Adam Marcus, Gábor Tardos
GD
2003
Springer
15 years 11 months ago
Track Drawings of Graphs with Constant Queue Number
A k-track drawing is a crossing-free 3D straight-line drawing of a graph G on a set of k parallel lines called tracks. The minimum value of k for which G admits a k-track drawing ...
Emilio Di Giacomo, Henk Meijer