On the Cube Polynomials of Padovan and Lucas–Padovan Cubes

The hypercube is one of the best models for network topology a distributed system. Recently, Padovan cubes and Lucas–Padovan have been introduced as new interconnection topologies. Despite their asymmetric relatively sparse interconnections, are shown to possess attractive recurrent structures. In this paper, we determine cube polynomial cubes, well generating functions sequences these cubes. Several explicit formulas coefficients polynomials obtained, in particular, they can be expressed with convolved numbers numbers. represent number hypercubes, symmetry inherent Therefore, very important characterizing