@article {IOPORT.06023644,
    author       = {Abas, Marcel},
    title        = {Generalized Cayley maps and Hamiltonian maps of complete graphs.},
    year         = {2012},
    journal      = {Discrete Mathematics},
    volume       = {312},
    number       = {6},
    issn         = {0012-365X},
    pages        = {1106-1116},
    publisher    = {Elsevier Science B.V. (North-Holland), Amsterdam},
    doi          = {10.1016/j.disc.2011.11.028},
    abstract     = {Summary: A cellular embedding of a connected graph $G$ is said to be Hamiltonian if every face of the embedding is bordered by a Hamiltonian cycle (a cycle containing all the vertices of $G$) and it is an $m$-gonal embedding if every face of the embedding has the same length $m$. In this paper, we establish a theory of generalized Cayley maps, including a new extension of voltage graph techniques, to show that for each even n there exists a Hamiltonian embedding of $K_{n}$ such that the embedding is a Cayley map and that there is no $n$-gonal Cayley map of $K_{n}$ if $n\geq 5$ is a prime. In addition, we show that there is no Hamiltonian Cayley map of $K_{n}$ if $n=p^{e}$, $p$ an odd prime and $e>1$.},
    identifier   = {06023644},
}