On the monoid of partial isometries of a cycle graph

Fernandes, Vítor Hugo; Paulista, Tânia

http://hdl.handle.net/10362/162058

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Autores

Fernandes, Vítor Hugo

Paulista, Tânia

Resumo(s)

In this paper we consider the monoid DPCn of all partial isometries of an n-cycle graph Cn. We show that DPCn is the submonoid of the monoid of all oriented partial permutations on an n-chain whose elements are precisely all restrictions of a dihedral group of order 2n. Our main aim is to exhibit a presentation of DPCn. We also describe Green’s relations of DPCn and calculate its cardinality and rank.