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1. On the monoid of partial isometries of a finite star graph

Author

Fernandes, V��tor Hugo and Paulista, T��nia

Subjects
Rings and Algebras (math.RA), FOS: Mathematics, 20M20, 20M05, 05C12, 05C25
Abstract

In this paper we consider the monoid $DPS_n$ of all partial isometries of a star graph $S_n$ with $n$ vertices. Our main objectives are to determine the rank and to exhibit a presentation of $DPS_n$. We also describe Green's relations of $DPS_n$ and calculate its cardinal.

Published
2022
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