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COMBINATORICS
2002
92views more  COMBINATORICS 2002»
13 years 5 months ago
On the Excluded Minors for Matroids of Branch-Width Three
Knowing the excluded minors for a minor-closed matroid property provides a useful alternative characterization of that property. It has been shown in [R. Hall, J. Oxley, C. Semple...
Petr Hlinený
JCT
2010
91views more  JCT 2010»
13 years 4 months ago
Lattice path matroids: The excluded minors
A lattice path matroid is a transversal matroid for which some antichain of intervals in some linear order on the ground set is a presentation. We characterize the minor-closed cla...
Joseph E. Bonin
GD
2006
Springer
13 years 9 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»
13 years 10 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
WDAG
2005
Springer
98views Algorithms» more  WDAG 2005»
13 years 11 months ago
Compact Routing for Graphs Excluding a Fixed Minor
Ittai Abraham, Cyril Gavoille, Dahlia Malkhi