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» Plane embeddings of planar graph metrics
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WADS
1993
Springer
163views Algorithms» more  WADS 1993»
13 years 9 months ago
Minimum Weight Euclidean Matching and Weighted Relative Neighborhood Graphs
The Minimum Weight Euclidean Matching (MWEM) problem is: given 2n point sites in the plane with Euclidean metric for interpoint distances, match the sites into n pairs so that the...
Andy Mirzaian
PODS
2004
ACM
96views Database» more  PODS 2004»
14 years 5 months ago
Roads, Codes and Spatiotemporal Queries
We present a novel coding-based technique for answering spatial and spatiotemporal queries on objects moving along a system of curves on the plane such as many road networks. We h...
Sandeep Gupta, Swastik Kopparty, Chinya V. Ravisha...
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
14 years 5 months ago
Lower-stretch spanning trees
We show that every weighted connected graph G contains as a subgraph a spanning tree into which the edges of G can be embedded with average stretch O log2 n log log n . Moreover, w...
Michael Elkin, Yuval Emek, Daniel A. Spielman, Sha...
CORR
2010
Springer
78views Education» more  CORR 2010»
13 years 5 months ago
Flow-Cut Gaps for Integer and Fractional Multiflows
Consider a routing problem instance consisting of a demand graph H = (V, E(H)) and a supply graph G = (V, E(G)). If the pair obeys the cut condition, then the flow-cut gap for thi...
Chandra Chekuri, F. Bruce Shepherd, Christophe Wei...
DCG
2007
102views more  DCG 2007»
13 years 5 months ago
How to Exhibit Toroidal Maps in Space
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...