@article {16535,
	title = {On the monoid of partial isometries of a cycle graph},
	journal = {Turkish Journal of Mathematics (DOI 10.55730/1300-0098.3460)},
	volume = {47},
	year = {2023},
	pages = {1746-1760},
	abstract = {<p>In this paper we consider the monoid DPC_n of all partial isometries of a n-cycle graph C_n. We show that DPC_n is the submonoid of the monoid of all oriented partial permutations on a n-chain whose elements are precisely all restrictions of a dihedral group of order 2n. Our main aim is to exhibit a presentation of DPC_n. We also describe Green{\textquoteright}s relations of DPC_n and calculate its cardinality and rank. </p>
},
	url = {https://journals.tubitak.gov.tr/math/vol47/iss6/10/},
	author = {Fernandes, V{\'\i}tor H. and Paulista, T{\^a}nia}
}
