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» Embedding a Forest in a Graph
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SODA
2007
ACM
106views Algorithms» more  SODA 2007»
13 years 9 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
CVPR
2008
IEEE
14 years 9 months ago
Non-negative graph embedding
We introduce a general formulation, called non-negative graph embedding, for non-negative data decomposition by integrating the characteristics of both intrinsic and penalty graph...
Jianchao Yang, Shuicheng Yan, Yun Fu, Xuelong Li, ...
CORR
2012
Springer
195views Education» more  CORR 2012»
12 years 3 months ago
Multiple-Source Shortest Paths in Embedded Graphs
Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe an alg...
Sergio Cabello, Erin W. Chambers, Jeff Erickson
SODA
2012
ACM
205views Algorithms» more  SODA 2012»
11 years 10 months ago
Global minimum cuts in surface embedded graphs
We give a deterministic algorithm to find the minimum cut in a surface-embedded graph in near-linear time. Given an undirected graph embedded on an orientable surface of genus g,...
Jeff Erickson, Kyle Fox, Amir Nayyeri
GD
2004
Springer
14 years 1 months ago
Simultaneous Embedding of Planar Graphs with Few Bends
We present an O(n) time algorithm for simultaneous embedding of pairs of planar graphs on the O(n2 )×O(n2 ) grid, with at most three bends per edge, where n is the number of verti...
Cesim Erten, Stephen G. Kobourov