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DAM
2008
88views more  DAM 2008»
13 years 5 months ago
On the asymmetric representatives formulation for the vertex coloring problem
We consider the vertex coloring problem, which may be stated as the problem of minimizing the number of labels that can be assigned to the vertices of a graph G such that each ver...
Manoel B. Campêlo, Victor A. Campos, Ricardo...
APPROX
2006
Springer
91views Algorithms» more  APPROX 2006»
13 years 8 months ago
Threshold Functions for Asymmetric Ramsey Properties Involving Cliques
Consider the following problem: For given graphs G and F1, . . . , Fk, find a coloring of the edges of G with k colors such that G does not contain Fi in color i. For example, if e...
Martin Marciniszyn, Jozef Skokan, Reto Spöhel...
ENDM
2010
136views more  ENDM 2010»
13 years 5 months ago
Approximating the asymmetric profitable tour
Abstract We study the version of the asymmetric prize collecting traveling salesman problem, where the objective is to find a directed tour that visits a subset of vertices such th...
Viet Hung Nguyen, Thi Thu Thuy Nguyen
FSTTCS
2007
Springer
13 years 11 months ago
"Rent-or-Buy" Scheduling and Cost Coloring Problems
We study several cost coloring problems, where we are given a graph and a cost function on the independent sets and are to find a coloring that minimizes the function costs of the...
Takuro Fukunaga, Magnús M. Halldórss...
TIT
1998
79views more  TIT 1998»
13 years 4 months ago
Greedy and Heuristic Algorithms for Codes and Colorings
Abstract— Many of the fundamental coding problems can be represented as graph problems. These problems are often intrinsically difficult and unsolved even if the code length is ...
Tuvi Etzion, Patric R. J. Östergård