The complexity of approximating a nonlinear program
Mathematical Programming: Series A and B
Theoretical Computer Science
An approximation algorithm for maximum packing of 3-edge paths
Information Processing Letters
P-Complete Approximation Problems
Journal of the ACM (JACM)
Journal of Algorithms
Differential approximation results for the traveling salesman and related problems
Information Processing Letters
Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
On the k-path partition of graphs
Theoretical Computer Science
8/7-approximation algorithm for (1,2)-TSP
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Approximations for minimum and min-max vehicle routing problems
Journal of Algorithms
An approximation algorithm for maximum triangle packing
Discrete Applied Mathematics
An improved approximation algorithm for TSP with distances one and two
FCT'05 Proceedings of the 15th international conference on Fundamentals of Computation Theory
Differential approximation of the multiple stacks TSP
ISCO'12 Proceedings of the Second international conference on Combinatorial Optimization
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We present several new standard and differential approximation results for the P"4-partition problem using the Hassin and Rubinstein algorithm [Information Processing Letters 63 (1997) 63-67]. Those results concern both minimization and maximization versions of the problem. However, the main point of this paper lies in the establishment of the robustness of this algorithm, in the sense that it provides good quality solutions for a variety of versions of the problem, under both standard and differential approximation ratios.