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» A Polynomial Bound for Untangling Geometric Planar Graphs
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JNW
2007
104views more  JNW 2007»
14 years 9 months ago
A Distributed Graph Algorithm for Geometric Routing in Ad Hoc Wireless Networks
— This paper presented a fully distributed algorithm to compute a planar subgraph of the underlying wireless connectivity graph. This work considered the idealized unit disk grap...
Rashid Bin Muhammad
MOBIHOC
2001
ACM
15 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 ...
WG
2005
Springer
15 years 3 months ago
On Stable Cutsets in Claw-Free Graphs and Planar Graphs
To decide whether a line graph (hence a claw-free graph) of maximum degree five admits a stable cutset has been proven to be an NP-complete problem. The same result has been known...
Van Bang Le, Raffaele Mosca, Haiko Müller
SODA
2012
ACM
170views Algorithms» more  SODA 2012»
13 years 9 hour ago
Compression via matroids: a randomized polynomial kernel for odd cycle transversal
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
Stefan Kratsch, Magnus Wahlström
ISAAC
2007
Springer
124views Algorithms» more  ISAAC 2007»
15 years 3 months ago
Approximating the Crossing Number of Toroidal Graphs
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
Petr Hlinený, Gelasio Salazar