<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Suppose that the zero-divisor graph of a commutative semi-group S, be a complete graph with an end vertex. In this paper, we determine the structure of the annihilator graph S and we show that if Z(S)= S, then the annihilator graph S is a disconnected graph.</p>
</abstract>

Suppose that the zero-divisor graph of a commutative semi-group S, be a complete graph with an end vertex. In this paper, we determine the structure of the annihilator graph S and we show that if Z(S)= S, then the annihilator graph S is a disconnected graph.

Annihilator graphs of a commutative semigroup whose Zero-divisor graphs are a complete graph with an end vertex

Department of Basic Sciences, Sabzevar Branch

Acta Universitatis Sapientiae, Informatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Suppose that the zero-divisor graph of a commutative semi-group S, be a complete graph with an end vertex. In this paper, we determine the structure of the...

Annihilator graphs of a commutative semigroup whose Zero-divisor graphs are a complete graph with an end vertex

Publié en ligne: 12 août 2022

Pages: 119 - 136

Reçu: 06 juin 2022

Accepté: 12 juil. 2022

DOI: https://doi.org/10.2478/ausi-2022-0008

Mots clés
zero-divisor graph, annihilator graph, isolated vertex, connected graph, complete graph

© 2022 Seyed Mohammad Sakhdari et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Annihilator graphs of a commutative semigroup whose Zero-divisor graphs are a complete graph with an end vertex

Publié en ligne: 12 août 2022

Pages: 119 - 136

Reçu: 06 juin 2022

Accepté: 12 juil. 2022

DOI: https://doi.org/10.2478/ausi-2022-0008

Mots clészero-divisor graph, annihilator graph, isolated vertex, connected graph, complete graph

© 2022 Seyed Mohammad Sakhdari et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
zero-divisor graph, annihilator graph, isolated vertex, connected graph, complete graph