In graph theory, a Hamiltonian cycle is a cycle that visits each vertex exactly once. This question has a long history, and I have followed some articles. But what I want to ask is:
- Is there a monograph or review of the Hamiltonian Cycles of graphs (or long cycles)?
I've been looking for a long time, but I haven't seen some in-depth, systematic monographs.
We can find plenty of examples of Hamiltonian cycles by using google scholar.
- S. Špacapan, A counterexample to prism-hamiltonicity of 3-connected planar graphs[J]. Journal of Combinatorial Theory, Series B, 2021, 146: 364-371.
- Fabrici I, Harant J, Madaras T, et al. Long cycles and spanning subgraphs of locally maximal 1‐planar graphs[J]. Journal of Graph Theory, 2020, 95(1): 125-137.
- Fabrici I, Madaras T, Timková M, et al. Non-hamiltonian graphs in which every edge-contracted subgraph is hamiltonian[J]. Applied Mathematics and Computation, 2021, 392: 125714.
...