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» Compact Routing for Graphs Excluding a Fixed Minor
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WDAG
2005
Springer
98views Algorithms» more  WDAG 2005»
14 years 4 months ago
Compact Routing for Graphs Excluding a Fixed Minor
Ittai Abraham, Cyril Gavoille, Dahlia Malkhi
LICS
2010
IEEE
13 years 8 months ago
Fixed-Point Definability and Polynomial Time on Graphs with Excluded Minors
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
Martin Grohe
GD
2006
Springer
14 years 2 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
1990
ACM
135views Algorithms» more  STOC 1990»
14 years 2 months ago
A Separator Theorem for Graphs with an Excluded Minor and its Applications
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
Noga Alon, Paul D. Seymour, Robin Thomas
BIRTHDAY
2010
Springer
14 years 20 hour ago
Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...
Martin Grohe