Vladimir K. Leontiev - Hamiltonian cycles in torical lattices

dmtcs:3448 - Discrete Mathematics & Theoretical Computer Science, January 1, 2005, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05) - https://doi.org/10.46298/dmtcs.3448
Hamiltonian cycles in torical latticesConference paper

Authors: Vladimir K. Leontiev 1

  • 1 Dorodnicyn Computing Centre of RAS


We establish sufficient conditions for a toric lattice $T_{m,n}$ to be Hamiltonian. Also, we give some asymptotics for the number of Hamiltonian cycles in $T_{m,n}$.

https://doi.org/10.46298/dmtcs.3448
Source: HAL:hal-01184437v1
Volume: DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Section: Proceedings
Published on: January 1, 2005
Imported on: May 10, 2017
Keywords: [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [en] Hamiltonian cycle, toric lattice, Hardy―Littlewood method

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