Mathematical Programming: Series A and B
A new approach to the maximum-flow problem
Journal of the ACM (JACM)
Unifying Maximum Cut and Minimum Cut of a Planar Graph
IEEE Transactions on Computers
The traveling salesman problem with distances one and two
Mathematics of Operations Research
Implementing an efficient minimum capacity cut algorithm
Mathematical Programming: Series A and B
Faster shortest-path algorithms for planar graphs
Journal of Computer and System Sciences - Special issue: 26th annual ACM symposium on the theory of computing & STOC'94, May 23–25, 1994, and second annual Europe an conference on computational learning theory (EuroCOLT'95), March 13–15, 1995
Mathematics of Operations Research
Separating Maximally Violated Comb Inequalities in Planar Graphs
Mathematics of Operations Research
A polynomial-time approximation scheme for weighted planar graph TSP
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Separating a Superclass of Comb Inequalities in Planar Graphs
Mathematics of Operations Research
Separating over Classes of TSP Inequalities Defined by 0 Node-Lifting in Polynominal Time
Proceedings of the 5th International IPCO Conference on Integer Programming and Combinatorial Optimization
Polynomial-Time Separation of Simple Comb Inequalities
Proceedings of the 9th International IPCO Conference on Integer Programming and Combinatorial Optimization
A deterministic near-linear time algorithm for finding minimum cuts in planar graphs
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Separation Algorithms for Classes of STSP Inequalities Arising from a New STSP Relaxation
Mathematics of Operations Research
Polynomial-Time Separation of a Superclass of Simple Comb Inequalities
Mathematics of Operations Research
On the domino-parity inequalities for the STSP
Mathematical Programming: Series A and B
Efficient exact algorithms on planar graphs: exploiting sphere cut branch decompositions
ESA'05 Proceedings of the 13th annual European conference on Algorithms
A study of domino-parity and k-parity constraints for the TSP
IPCO'05 Proceedings of the 11th international conference on Integer Programming and Combinatorial Optimization
Exact algorithms for the Hamiltonian cycle problem in planar graphs
Operations Research Letters
A fast algorithm for minimum weight odd circuits and cuts in planar graphs
Operations Research Letters
Hi-index | 0.00 |
At present, the most successful approach for solving large-scale instances of the Symmetric Traveling Salesman Problem to optimality is branch-and-cut. The success of branch-and-cut is due in large part to the availability of effective separation procedures; that is, routines for identifying violated linear constraints. For two particular classes of constraints, known as comb and domino-parity constraints, it has been shown that separation becomes easier when the underlying graph is planar. We continue this line of research by showing how to exploit planarity in the separation of three other classes of constraints: subtour elimination, 2-matching and simple domino-parity constraints.