Cliques, holes and the vertex coloring polytope
Information Processing Letters
An exact algorithm for the maximum clique problem
Operations Research Letters
A Class Representative Model for Pure Parsimony Haplotyping
INFORMS Journal on Computing
Note: Facet-inducing web and antiweb inequalities for the graph coloring polytope
Discrete Applied Mathematics
Computers and Operations Research
Improved formulations for the ring spur assignment problem
INOC'11 Proceedings of the 5th international conference on Network optimization
Estimating population size via line graph reconstruction
WABI'12 Proceedings of the 12th international conference on Algorithms in Bioinformatics
Efficient symmetry breaking formulations for the job grouping problem
Computers and Operations Research
A polyhedral approach for the equitable coloring problem
Discrete Applied Mathematics
Hi-index | 0.05 |
We consider the vertex coloring problem, which can 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 vertex receives at least one label and the endpoints of every edge are assigned different labels. In this work, the 0-1 integer programming formulation based on representative vertices is revisited to remove symmetry. The previous polyhedral study related to the original formulation is adapted and generalized. New versions of facets derived from substructures of G are presented, including cliques, odd holes and anti-holes and wheels. In addition, a new class of facets is derived from independent sets of G. Finally, a comparison with the independent sets formulation is provided.