Technical Note—Data-Dependent Bounds for Heuristics to Find a Minimum Weight Hamiltonian Circuit
- 1 October 1980
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Operations Research
- Vol. 28 (5) , 1219-1222
- https://doi.org/10.1287/opre.28.5.1219
Abstract
We consider the problem of finding a minimum weight Hamiltonian circuit in a weighted undirected graph. If the edge weights are non-negative and satisfy the triangle inequality, there are heuristics for this problem known to have data-independent bounds on their performance. We derive data-dependent bounds for these heuristics for arbitrary edge weight problems. Our approach leads to sharper bounds than the data-independent ones when the data is non-negative and satisfies the triangle inequality.Keywords
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