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» On tree congestion of graphs
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JDA
2006
98views more  JDA 2006»
14 years 9 months ago
Completely connected clustered graphs
Abstract. Planar drawings of clustered graphs are considered. We introduce the notion of completely connected clustered graphs, i.e. hierarchically clustered graphs that have the p...
Sabine Cornelsen, Dorothea Wagner
DISOPT
2006
90views more  DISOPT 2006»
14 years 9 months ago
Tree decompositions of graphs: Saving memory in dynamic programming
We propose an effective heuristic to save memory in dynamic programming on tree decompositions when solving graph optimization problems. The introduced "anchor technique"...
Nadja Betzler, Rolf Niedermeier, Johannes Uhlmann
DAM
2007
70views more  DAM 2007»
14 years 9 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
SIAMDM
2010
119views more  SIAMDM 2010»
14 years 4 months ago
A Spanning Tree Method for Bounding Hitting Times of Random Walks on Graphs
In this paper we consider the problem of computing the expected hitting time to a vertex for random walks on graphs. We give a method for computing an upper bound on the expected ...
Randy Cogill, Cheng Peng
DAM
2008
83views more  DAM 2008»
14 years 10 months ago
Spanning forests and the golden ratio
For a graph G, let fij be the number of spanning rooted forests in which vertex j belongs to a tree rooted at i. In this paper, we show that for a path, the fij's can be expr...
Pavel Chebotarev