On a Graph Associated to UP-Algebras
Department of Mathematics, College of Science, Jazan University, New Campus, P.O. Box 2097, Jazan, Saudi Arabia
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Math. Comput. Appl. 2018, 23(4), 61; https://doi.org/10.3390/mca23040061
Received: 20 September 2018
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Revised: 11 October 2018
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Accepted: 12 October 2018
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Published: 15 October 2018
In this article, we introduce the concept of graphs associated with commutative UP-algebra, which we say is a UP-graph whose vertices are the elements of commutative UP-algebra and whose edges are the association of two vertices, that is two elements from commutative UP-algebra. We also define a graph of equivalence classes of a commutative UP-algebra and prove some related results based on the algebraic properties of the graph. We show that two graphs are the same and complete bipartite if they are formed by equivalence classes of UP-algebra and the graph folding of commutative UP-algebra. An algorithm for checking whether a given set is a UP-algebra or not has also been given.
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MDPI and ACS Style
Ansari, M.A.; Haidar, A.; Koam, A.N.A. On a Graph Associated to UP-Algebras. Math. Comput. Appl. 2018, 23, 61. https://doi.org/10.3390/mca23040061
AMA Style
Ansari MA, Haidar A, Koam ANA. On a Graph Associated to UP-Algebras. Mathematical and Computational Applications. 2018; 23(4):61. https://doi.org/10.3390/mca23040061
Chicago/Turabian StyleAnsari, Moin A., Azeem Haidar, and Ali N.A. Koam. 2018. "On a Graph Associated to UP-Algebras" Mathematical and Computational Applications 23, no. 4: 61. https://doi.org/10.3390/mca23040061
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