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GD
2004
Springer
14 years 3 months ago
Convex Drawings of 3-Connected Plane Graphs
We use Schnyder woods of 3-connected planar graphs to produce convex straight line drawings on a grid of size (n − 2 − ∆) × (n − 2 − ∆). The parameter ∆ ≥ 0 depen...
Nicolas Bonichon, Stefan Felsner, Mohamed Mosbah
CORR
2008
Springer
111views Education» more  CORR 2008»
13 years 10 months ago
Linear-Time Algorithms for Geometric Graphs with Sublinearly Many Crossings
We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...
David Eppstein, Michael T. Goodrich, Darren Strash
MOBIHOC
2001
ACM
14 years 9 months ago
Geometric spanner for routing in mobile networks
We propose a new routing graph, the Restricted Delaunay Graph (RDG), for ad hoc networks. Combined with a node clustering algorithm, RDG can be used as an underlying graph for geo...
Jie Gao, Leonidas J. Guibas, John Hershberger, Li ...
FCT
1995
Springer
14 years 1 months ago
Fast Algorithms for Maintaining Shortest Paths in Outerplanar and Planar Digraphs
Abstract. We present algorithms for maintaining shortest path information in dynamic outerplanar digraphs with sublogarithmic query time. By choosing appropriate parameters we achi...
Hristo Djidjev, Grammati E. Pantziou, Christos D. ...
APPINF
2003
13 years 11 months ago
Optimum Interval Routing in k-Caterpillars and Maximal Outer Planar Networks
In this paper we present optimum interval routing algorithms for message passing networks that have topological structure defined by k-caterpillars and maximal outer planar graph...
Gur Saran Adhar