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» Algorithms for the edge-width of an embedded graph
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COMPGEOM
2006
ACM
15 years 7 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
SIAMDM
2010
194views more  SIAMDM 2010»
14 years 8 months ago
Combinatorics and Geometry of Finite and Infinite Squaregraphs
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
Hans-Jürgen Bandelt, Victor Chepoi, David Epp...
CVPR
2009
IEEE
16 years 8 months ago
Multiplicative Nonnegative Graph Embedding
In this paper, we study the problem of nonnegative graph embedding, originally investigated in [14] for reaping the benefits from both nonnegative data factorization and the spe...
Changhu Wang (University of Science and Technology...
STOC
2004
ACM
88views Algorithms» more  STOC 2004»
16 years 1 months ago
Expander flows, geometric embeddings and graph partitioning
We give a O( log n)-approximation algorithm for sparsest cut, edge expansion, balanced separator, and graph conductance problems. This improves the O(log n)-approximation of Leig...
Sanjeev Arora, Satish Rao, Umesh V. Vazirani
SODA
2007
ACM
106views Algorithms» more  SODA 2007»
15 years 2 months ago
Embedding metrics into ultrametrics and graphs into spanning trees with constant average distortion
This paper addresses the basic question of how well can a tree approximate distances of a metric space or a graph. Given a graph, the problem of constructing a spanning tree in a ...
Ittai Abraham, Yair Bartal, Ofer Neiman