On the monoid of partial isometries of a finite star graph

Vítor H. Fernandes; Tânia Paulista

doi:10.1080/00927872.2022.2121404

On the monoid of partial isometries of a finite star graph

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Abstract

In this paper we consider the monoid (Formula presented.) 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 (Formula presented.). We also describe Green’s relations of (Formula presented.) and calculate its cardinal.

Original language	English
Number of pages	21
Journal	Communications in Algebra
DOIs	https://doi.org/10.1080/00927872.2022.2121404
Publication status	Published - 14 Sept 2022

Keywords

Partial isometries
presentations
rank
star graphs
transformations

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10.1080/00927872.2022.2121404

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KW - star graphs

KW - transformations

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On the monoid of partial isometries of a finite star graph

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