Abstract
Given a connected, undirected graph G whose edges are labeled (or colored), the colorful traveling salesman problem (CTSP) seeks a Hamiltonian tour of G with the minimum number of distinct labels (or colors). We prove that the CTSP is NP-complete and we present a heuristic algorithm and a genetic algorithm to solve the problem.
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7. References
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Xiong, Y., Golden, B., Wasil, E. (2007). The Colorful Traveling Salesman Problem. In: Baker, E.K., Joseph, A., Mehrotra, A., Trick, M.A. (eds) Extending the Horizons: Advances in Computing, Optimization, and Decision Technologies. Operations Research/Computer Science Interfaces Series, vol 37. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-48793-9_8
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DOI: https://doi.org/10.1007/978-0-387-48793-9_8
Publisher Name: Springer, Boston, MA
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