Soft Congruence Relations Over Semirings

Breikhna, Ms and Fawad, Hussain and Kostaq, Hila and Naveed, Yaqoob and Mohammad, Tariq Rahim (2021) Soft Congruence Relations Over Semirings. Honam Mathematical Journal, 40 (1). pp. 1-16.

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Abstract

In this paper, we generalize the notion of soft congruence relations from rings to semirings. We construct some examples in order to show that these relations exist over semirings. Some properties of these relations are investigated. In this paper we study the distinguishing number and the distinguishing index of strong product of two graphs. We prove that for every k≥2, the k-th strong power of a connected S-thin graph G has distinguishing index equal two.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Applied Sciences (FEAS) > Department of Basic Sciences Islamabad
Depositing User: Dr Naveed Yaqoob
Date Deposited: 05 Apr 2021 09:19
Last Modified: 05 Apr 2021 09:19
URI: http://research.riphah.edu.pk/id/eprint/1316

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