Power graphs have been extensively studied for their ability to represent algebraic structures through graph-theoretic concepts. This paper investigates the structural properties of power graphs associated with B-algebras, a class of  algebras that exhibit certain group-like characteristics. Several graph-theoretic properties, including graph distance measures, are examined. In addition, conditions under which the power graph is complete, Eulerian, or Hamiltonian, as well as the behavior of power graphs under B-homomorphisms, are explored. Finally, the relationship between the center of a B-algebra and the center of its corresponding power graph is established.

B-algebra, B-homomorphism, power graph.

Received: April 8, 2025; Revised: May 25, 2025; Accepted: June 5, 2025; Published: June 17, 2025

How to cite this article: Ranelyn I. Ral and Ann Leslie V. Flores, Power graph of B-algebras, Advances and Applications in Discrete Mathematics 42(6) (2025), 515-530. https://doi.org/10.17654/0974165825035

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