Geodesic
Hamiltonian Chains in Hypergraphs
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05) (2005).

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Hamiltionian chain is a generalisation of hamiltonian cycles for hypergraphs. Among the several possible ways of generalisations this is probably the most strong one, it requires the strongest structure. Since there are many interesting questions about hamiltonian cycles in graphs, we can try to answer these questions for hypergraphs, too. In the present article we give a survey on results about such questions. 
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     author = {Katona, Gyula Y.},
     title = {Hamiltonian {Chains} in {Hypergraphs}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
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Katona, Gyula Y. Hamiltonian Chains in Hypergraphs. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05) (2005). doi : 10.46298/dmtcs.3444. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3444/

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