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FOCS
2008
IEEE
14 years 4 months ago
Embeddings of Topological Graphs: Lossy Invariants, Linearization, and 2-Sums
We study the properties of embeddings, multicommodity flows, and sparse cuts in minor-closed families of graphs which are also closed under 2-sums; this includes planar graphs, g...
Amit Chakrabarti, Alexander Jaffe, James R. Lee, J...
NETWORKS
2010
13 years 8 months ago
Mixed search number and linear-width of interval and split graphs
We show that the mixed search number and the linear-width of interval graphs and of split graphs can be computed in linear time and in polynomial time, respectively.
Fedor V. Fomin, Pinar Heggernes, Rodica Mihai
GD
2006
Springer
14 years 1 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
JDA
2006
87views more  JDA 2006»
13 years 9 months ago
A 3-approximation for the pathwidth of Halin graphs
We prove that the pathwidth of Halin graphs can be 3-approximated in linear time. Our approximation algorithms is based on a combinatorial result about respectful edge orderings o...
Fedor V. Fomin, Dimitrios M. Thilikos
DAM
2007
108views more  DAM 2007»
13 years 9 months ago
3D-interval-filament graphs
: Gavril [GA4] defined two new families of intersection graphs: the interval-filament graphs and the subtree-filament graphs. The complements of intervalfilament graphs are the coi...
Fanica Gavril