International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | Spain | Volume 12 Issue 3, March 2023 | Popularity: 4.7 / 10


     

Hamiltonian Cycles and Travelling Salesfolk

Alberto Gomez Gomez


Abstract: A method is given in this paper that makes it easier to solve both the Hamiltonian cycle problem and the travelling salesman problem in any number of space dimensions and in both their directed and undirected varieties.


Keywords: NP-completeness, Hamiltonian cycle problem, travelling salesman problem, maximum matching, perfect matching


Edition: Volume 12 Issue 3, March 2023


Pages: 1089 - 1110


DOI: https://www.doi.org/10.21275/SR23317113156



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Alberto Gomez Gomez, "Hamiltonian Cycles and Travelling Salesfolk", International Journal of Science and Research (IJSR), Volume 12 Issue 3, March 2023, pp. 1089-1110, https://www.ijsr.net/getabstract.php?paperid=SR23317113156, DOI: https://www.doi.org/10.21275/SR23317113156