<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

Published Online: Aug 12, 2022

Page range: 119 - 136

Received: Jun 06, 2022

Accepted: Jul 12, 2022

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

Keywords
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

Published Online: Aug 12, 2022

Page range: 119 - 136

Received: Jun 06, 2022

Accepted: Jul 12, 2022

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

Keywordszero-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.

Keywords
zero-divisor graph, annihilator graph, isolated vertex, connected graph, complete graph