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» Plane embeddings of planar graph metrics
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WADS
1993
Springer
163views Algorithms» more  WADS 1993»
13 years 11 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 7 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...
22
Voted
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
14 years 7 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 7 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 7 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...