POWER GRAPH OF B-ALGEBRAS

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.