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DAM
2007
70views more  DAM 2007»
13 years 7 months ago
Tree-edges deletion problems with bounded diameter obstruction sets
We study the following problem: Given a tree G and a finite set of trees H, find a subset O of the edges of G such that G − O does not contain a subtree isomorphic to a tree f...
Dekel Tsur
DAM
1999
169views more  DAM 1999»
13 years 7 months ago
Approximating the Weight of Shallow Steiner Trees
This paper deals with the problem of constructing Steiner trees of minimum weight with diameter bounded by d, spanning a given set of vertices in a graph. Exact solutions or logar...
Guy Kortsarz, David Peleg
TCAD
2002
128views more  TCAD 2002»
13 years 7 months ago
Preferred direction Steiner trees
Interconnect optimization for VLSI circuits has received wide attention. To model routing surfaces, multiple circuit layers are freabstracted as a single rectilinear plane, ignori...
Mehmet Can Yildiz, Patrick H. Madden
GD
2006
Springer
13 years 11 months ago
Planar Decompositions and the Crossing Number of Graphs with an Excluded Minor
Tree decompositions of graphs are of fundamental importance in structural and algorithmic graph theory. Planar decompositions generalise tree decompositions by allowing an arbitrar...
David R. Wood, Jan Arne Telle
STOC
1996
ACM
115views Algorithms» more  STOC 1996»
13 years 11 months ago
Minimum Cuts in Near-Linear Time
We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a "semiduality" between minimum cuts and maximum spanning tree...
David R. Karger