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» New upper bounds on the decomposability of planar graphs
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STOC
2009
ACM
171views Algorithms» more  STOC 2009»
14 years 7 months ago
On the geometry of graphs with a forbidden minor
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
James R. Lee, Anastasios Sidiropoulos
MOBIHOC
2001
ACM
14 years 6 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 ...
ORDER
2006
97views more  ORDER 2006»
13 years 6 months ago
Upward Three-Dimensional Grid Drawings of Graphs
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with integer coordinates, such that the straight line segments representing the edges ...
Vida Dujmovic, David R. Wood
SIAMDM
2008
79views more  SIAMDM 2008»
13 years 6 months ago
Reconfigurations in Graphs and Grids
Let G be a connected graph, and let V and V two n-element subsets of its vertex set V (G). Imagine that we place a chip at each element of V and we want to move them into the posi...
Gruia Calinescu, Adrian Dumitrescu, János P...
STACS
2007
Springer
14 years 26 days ago
New Approximation Algorithms for Minimum Cycle Bases of Graphs
We consider the problem of computing an approximate minimum cycle basis of an undirected non-negative edge-weighted graph G with m edges and n vertices; the extension to directed ...
Telikepalli Kavitha, Kurt Mehlhorn, Dimitrios Mich...