It has been conjectured there is a Hamiltonian cycle in every Cayley graph. Interest in this and other closely related questions has grown in the past few years. There have been many papers on the topic, but it is still an open question whether every connected Cayley graph has a Hamiltonian cycle. In this paper, we survey the results, techniques, and open problems in the field.
Fallahpour, S., & Salarian, M. R. (2023). A survey on Hamiltonian Cycle in Cayley graphs. Analytical and Numerical Solutions for Nonlinear Equations, 8(1), 97-103. doi: 10.22128/gadm.2024.743.1097
MLA
Samira Fallahpour; Mohammad Reza Salarian. "A survey on Hamiltonian Cycle in Cayley graphs", Analytical and Numerical Solutions for Nonlinear Equations, 8, 1, 2023, 97-103. doi: 10.22128/gadm.2024.743.1097
HARVARD
Fallahpour, S., Salarian, M. R. (2023). 'A survey on Hamiltonian Cycle in Cayley graphs', Analytical and Numerical Solutions for Nonlinear Equations, 8(1), pp. 97-103. doi: 10.22128/gadm.2024.743.1097
VANCOUVER
Fallahpour, S., Salarian, M. R. A survey on Hamiltonian Cycle in Cayley graphs. Analytical and Numerical Solutions for Nonlinear Equations, 2023; 8(1): 97-103. doi: 10.22128/gadm.2024.743.1097