A TSP algorithm based on link degree

The fundamentality of the traveling salesman problem (TSP) is the choice of an edge in the next step. This paper proposes a concept of link degree, which can display the potentiality of an edge to belong to the shortest Hamiltonian cycle in a more effectively manner and, on this basis, it presents a...

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Published in:Journal of physics. Conference series Vol. 1682; no. 1; pp. 12040 - 12045
Main Authors: Yu, Guyang, Shi, Huajun
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 01.11.2020
Subjects:
Greedy algorithms
Physics
Traveling salesman problem
ISSN:1742-6588, 1742-6596
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Abstract The fundamentality of the traveling salesman problem (TSP) is the choice of an edge in the next step. This paper proposes a concept of link degree, which can display the potentiality of an edge to belong to the shortest Hamiltonian cycle in a more effectively manner and, on this basis, it presents a greedy algorithm for the TSP. Meanwhile, some relevant theorems and conjectures as well as some problems triggered are discussed as well.
AbstractList The fundamentality of the traveling salesman problem (TSP) is the choice of an edge in the next step. This paper proposes a concept of link degree, which can display the potentiality of an edge to belong to the shortest Hamiltonian cycle in a more effectively manner and, on this basis, it presents a greedy algorithm for the TSP. Meanwhile, some relevant theorems and conjectures as well as some problems triggered are discussed as well.
Author Yu, Guyang
Shi, Huajun
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  email: annode@mail.ustc.edu.cn
  organization: Shanghai East-China Computer Co. Ltd Postgraduate student The 32nd Research Institute of China Electronics Technology Group Corporation , China
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  givenname: Huajun
  surname: Shi
  fullname: Shi, Huajun
  organization: Shanghai East-China Computer Co. Ltd researcherThe 32nd Research Institute of China Electronics Technology Group Corporation , China
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Cites_doi 10.1038/35017500
10.1002/net.3230070303
10.1016/0167-739X(94)00059-N
10.1111/j.1475-3995.1996.tb00032.x
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SubjectTerms Greedy algorithms
Physics
Traveling salesman problem
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