Many important cutting planes have been discovered for the traveling salesman problem. Among them are the clique tree inequalities and the more general bipartition inequalities. Little is known in the way of exact algorithms for separating these inequalities in polynomial time in the size of the fractional point x * which is being separated. An algorithm is presented here that separates bipartition inequalities of a fixed number of handles and teeth, which includes clique tree inequalities of a fixed number of handles and teeth, in polynomial time.
CITATION STYLE
Carr, R. D. (1995). Separating clique tree and bipartitioninequalities in polynomial time. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 920, pp. 40–49). Springer Verlag. https://doi.org/10.1007/3-540-59408-6_40
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