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TAGT
1994
Springer
185views Graph Theory» more  TAGT 1994»
14 years 16 days ago
Concatenation of Graphs
An operation of concatenation is introduced for graphs. Then strings are viewed as expressions denoting graphs, and string languages are interpreted as graph languages. For a clas...
Joost Engelfriet, Jan Joris Vereijken
APPROX
2004
Springer
129views Algorithms» more  APPROX 2004»
14 years 1 months ago
The Chromatic Number of Random Regular Graphs
Given any integer d ≥ 3, let k be the smallest integer such that d < 2k log k. We prove that with high probability the chromatic number of a random d-regular graph is k, k + 1...
Dimitris Achlioptas, Cristopher Moore
COMBINATORICA
2010
13 years 3 months ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...
LICS
2010
IEEE
13 years 6 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