Damghan University Press Analytical and Numerical Solutions for Nonlinear Equations 3060-785X 8 1 2024 04 12 A Survey on Hamiltonian Cycle in Cayley Graphs 76 81 417 10.22128/gadm.2024.743.1097 EN Samira Fallahpour Faculty of Mathematical and Computer Science, Kharazmi University, Tehran, Iran 0000-0002-9920-1851 Mohammad Reza Salarian Faculty of Mathematical and Computer Science, Kharazmi University, Tehran, Iran 0000-0002-9920-1851 Journal Article 2023 10 05 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. Hamiltonian cycle Cayley graph https://ansne.du.ac.ir/article_417_814b60036290d7e209210b4b9310b3fd.pdf