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» Computing the Girth of a Planar Graph
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GD
2008
Springer
13 years 8 months ago
Visibility Representations of Four-Connected Plane Graphs with Near Optimal Heights
A visibility representation of a graph G is to represent the nodes of G with non-overlapping horizontal line segments such that the line segments representing any two distinct adja...
Chieh-Yu Chen, Ya-Fei Hung, Hsueh-I Lu
DIALM
2003
ACM
175views Algorithms» more  DIALM 2003»
14 years 27 days ago
Localized construction of bounded degree and planar spanner for wireless ad hoc networks
We propose a novel localized algorithm that constructs a bounded degree and planar spanner for wireless ad hoc networks modeled by unit disk graph (UDG). Every node only has to kn...
Yu Wang 0003, Xiang-Yang Li
CVPR
2010
IEEE
14 years 4 months ago
Beyond Trees: MRF Inference via Outer-Planar Decomposition
Maximum a posteriori (MAP) inference in Markov Random Fields (MRFs) is an NP-hard problem, and thus research has focussed on either finding efficiently solvable subclasses (e.g. t...
Dhruv Batra, Andrew Gallagher, Devi Parikh, Tsuhan...
COCOON
1999
Springer
13 years 12 months ago
An External Memory Data Structure for Shortest Path Queries
We present results related to satisfying shortest path queries on a planar graph stored in external memory. Let N denote the number of vertices in the graph and let sort(N) denote...
David A. Hutchinson, Anil Maheshwari, Norbert Zeh
DIALM
2005
ACM
100views Algorithms» more  DIALM 2005»
13 years 9 months ago
On the pitfalls of geographic face routing
Geographic face routing algorithms have been widely studied in the literature [1, 8, 13]. All face routing algorithms rely on two primitives: planarization and face traversal. The...
Young-Jin Kim, Ramesh Govindan, Brad Karp, Scott S...