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TAGT
1994
Springer
185views Graph Theory» more  TAGT 1994»
15 years 1 months 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»
15 years 3 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
14 years 4 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...
90
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LICS
2010
IEEE
14 years 7 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