In graph theory, a Hamiltonian cycle is a cycle that visits each vertex exactly once. Hamiltonian cycle has a long history, and I have followed some articles.


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.
* Georges J P. Non-Hamiltonian bicubic graphs[J]. Journal of Combinatorial Theory, Series B, 1989, 46(1): 121-124.
...


But what I want to ask is：


* Is there a monograph (or review) of Hamiltonian cycles of graphs (or long cycles of graphs)？


I've been looking for a long time, but I haven't seen some in-depth, systematic monographs. I know that there are monographs on graph coloring, matching, dominating set, crossing number, etc., respectively. There are even several books on some subjects, such as graph coloring or dominating set.



Is there a monograph or review of Hamiltonian cycles of graphs (or long cycles of graphs)？
**Q:** *Is there a monograph (or review) of Hamiltonian cycles of graphs (or long cycles of graphs)？*


One possible answer (from a specific perspective) is


[Hamiltonian Cycle Problem and Markov Chains](https://books.google.nl/books?id=lj6hDyx6asUC) (2012)



> 
> This monograph summarizes a line of research that casts the
> Hamiltonian Cycle Problem in a mathematical framework which permits
> analytical concepts and techniques to clarify both the underlying
> difficulty of the NP-completeness of this problem and the relative
> exceptionality of truly difficult instances. The material is arranged
> in such a manner that the introductory chapters require very little
> mathematical background and discuss instances of graphs with
> interesting structures that motivated a lot of the research in this
> topic.
> 
> 
> 


