Albertson(Alb) Energy of Product of Graphs

Albertson energy Albϵ(G) is defined as the sum of the absolute values of the Albertson eigenvalues of G. This paper computes the Albertson energy of various graph products, relating it to graph properties like order, degree, energy, or Albertson energy of the base graph. Our primary focus is on deriving formulas for the Albertson energy of the Cartesian, strong, and tensor products when one graph is regular. We also compute the Albertson energy of join, corona and hierarchical products of regular graphs. Furthermore, we calculate the Albertson energy of p-shadow and p-duplicate graphs.