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» The Traveling Salesman Problem for Cubic Graphs
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CORR
2006
Springer
146views Education» more  CORR 2006»
13 years 7 months ago
Approximation Algorithms for Multi-Criteria Traveling Salesman Problems
In multi-criteria optimization, several objective functions are to be optimized. Since the different objective functions are usually in conflict with each other, one cannot conside...
Bodo Manthey, L. Shankar Ram
COR
2008
95views more  COR 2008»
13 years 7 months ago
Good triangulations yield good tours
Consider the following heuristic for planar Euclidean instances of the Traveling Salesman Problem (TSP): select a subset of the edges which induces a planar graph, and solve eithe...
Adam N. Letchford, Nicholas A. Pearson
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 18 days ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
FCS
2006
13 years 8 months ago
Sub-Graphs of Complete Graph
: In the complete graph K2m+3 for m 2, we study some structures of simple non-isomorphic Hamiltonian sub-graphs of the form H ( 2m+3 , 6m+3) for m 2 . The various structures of t...
Bichitra Kalita
SODA
1992
ACM
252views Algorithms» more  SODA 1992»
13 years 8 months ago
A General Approximation Technique for Constrained Forest Problems
We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph wit...
Michel X. Goemans, David P. Williamson