Geodesic
Hamiltonian Normal Cayley Graphs
Discussiones Mathematicae. Graph Theory, Tome 39 (2019) no. 3, pp. 731-740

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A variant of the Lovász Conjecture on hamiltonian paths states that every finite connected Cayley graph contains a hamiltonian cycle. Given a finite group G and a connection set S, the Cayley graph Cay(G, S) will be called normal if for every g ∈ G we have that g−1Sg = S. In this paper we present some conditions on the connection set of a normal Cayley graph which imply the existence of a hamiltonian cycle in the graph.
Keywords: Cayley graph, hamiltonian cycle, normal connection set 
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     title = {Hamiltonian {Normal} {Cayley} {Graphs}},
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Montellano-Ballesteros, Juan José; Arguello, Anahy Santiago. Hamiltonian Normal Cayley Graphs. Discussiones Mathematicae. Graph Theory, Tome 39 (2019) no. 3, pp. 731-740. http://geodesic.mathdoc.fr/item/DMGT_2019_39_3_a8/