Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Asymptotically optimal algorithm for the maximum M-peripatetic salesman problem in a normed space. / Gimadi, E. Kh; Tsidulko, O. Yu.
Learning and Intelligent Optimization - 12th International Conference, LION 12, Revised Selected Papers. Springer-Verlag GmbH and Co. KG, 2019. стр. 402-410 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Том 11353 LNCS).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Asymptotically optimal algorithm for the maximum M-peripatetic salesman problem in a normed space
AU - Gimadi, E. Kh
AU - Tsidulko, O. Yu
N1 - Publisher Copyright: © 2019, Springer Nature Switzerland AG.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - The maximum m-Peripatetic Salesman Problem (m-PSP) consists of determining m edge-disjoint Hamiltonian cycles of maximum total weight in a given complete weighted n-vertex graph. We consider a geometric variant of the problem and describe a polynomial time approximation algorithm for the m-PSP in a normed space of fixed dimension. We prove that the algorithm is asymptotically optimal for m = o(n).
AB - The maximum m-Peripatetic Salesman Problem (m-PSP) consists of determining m edge-disjoint Hamiltonian cycles of maximum total weight in a given complete weighted n-vertex graph. We consider a geometric variant of the problem and describe a polynomial time approximation algorithm for the m-PSP in a normed space of fixed dimension. We prove that the algorithm is asymptotically optimal for m = o(n).
KW - Asymptotically optimal algorithm
KW - Maximum m-peripatetic salesman problem
KW - Maximum traveling salesman problem
KW - Normed space
UR - http://www.scopus.com/inward/record.url?scp=85059946305&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-05348-2_33
DO - 10.1007/978-3-030-05348-2_33
M3 - Conference contribution
AN - SCOPUS:85059946305
SN - 9783030053475
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 402
EP - 410
BT - Learning and Intelligent Optimization - 12th International Conference, LION 12, Revised Selected Papers
PB - Springer-Verlag GmbH and Co. KG
T2 - 12th International Conference on Learning and Intelligent Optimization, LION 12
Y2 - 10 June 2018 through 15 June 2018
ER -
ID: 18129296