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JGT
2010
117views more  JGT 2010»
13 years 3 months ago
An approximate version of Hadwiger's conjecture for claw-free graphs
Hadwiger’s conjecture states that every graph with chromatic number χ has a clique minor of size χ. In this paper we prove a weakened version of this conjecture for the class ...
Maria Chudnovsky, Alexandra Ovetsky Fradkin
EJC
2008
13 years 4 months ago
Grad and classes with bounded expansion III. Restricted graph homomorphism dualities
We study restricted homomorphism dualities in the context of classes with bounded expansion. This presents a generalization of restricted dualities obtained earlier for bounded deg...
Jaroslav Nesetril, Patrice Ossona de Mendez
ICALP
2009
Springer
14 years 4 months ago
Approximation Algorithms via Structural Results for Apex-Minor-Free Graphs
We develop new structural results for apex-minor-free graphs and show their power by developing two new approximation algorithms. The first is an additive approximation for colorin...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Ken-ich...
CORR
2011
Springer
215views Education» more  CORR 2011»
12 years 8 months ago
The Bethe Permanent of a Non-Negative Matrix
:  The Bethe Permanent of a Non-Negative Matrix Pascal O. Vontobel HP Laboratories HPL-2011-116 Bethe approximation; Bethe permanent; graph cover; partition function; perfect ma...
Pascal O. Vontobel
APPROX
2010
Springer
154views Algorithms» more  APPROX 2010»
13 years 6 months ago
The Checkpoint Problem
In this paper, we consider the checkpoint problem in which given an undirected graph G, a set of sourcedestinations {(s1, t1), (s1, t1), . . . , (sk, tk)} and a set of fixed paths...
MohammadTaghi Hajiaghayi, Rohit Khandekar, Guy Kor...