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ECCC
2007
109views more  ECCC 2007»
13 years 9 months ago
Logic, Graphs, and Algorithms
Algorithmic meta theorems are algorithmic results that apply to whole families of combinatorial problems, instead of just specific problems. These families are usually defined i...
Martin Grohe
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
14 years 1 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
ARSCOM
2004
75views more  ARSCOM 2004»
13 years 9 months ago
On Theorems Equivalent with Kotzig's Result on Graphs with Unique 1-Factors
We show that several known theorems on graphs and digraphs are equivalent. The list of equivalent theorems include Kotzig's result on graphs with unique 1-factors, a lemma by...
Stefan Szeider
STOC
2002
ACM
99views Algorithms» more  STOC 2002»
14 years 10 months ago
Recognizing string graphs in NP
A string graph is the intersection graph of a set of curves in the plane. Each curve is represented by a vertex, and an edge between two vertices means that the corresponding curv...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
CPC
2006
84views more  CPC 2006»
13 years 9 months ago
Splitter Theorems for Cubic Graphs
Let ;k g be the class of k-connected cubic graphs of girth at least g. For several choices of k and g, we determine a set Ok g of graph operations, for which, if G and H are graph...
Guoli Ding, Jinko Kanno