Abstract
Let
Z
be the simple graph; then, we can obtain the energy
E
Z
of a graph
Z
by taking the absolute sum of the eigenvalues of the adjacency matrix of
Z
. In this research, we have computed different energy invariants of the noncompleted extended P-Sum (NEPS) of graph
Z
i
. In particular, we investigate the Randic, Seidel, and Laplacian energies of the NEPS of path graph
P
n
i
with any base
ℬ
. Here,
n
denotes the number of vertices and
i
denotes the number of copies of path graph
P
n
. Some of the results depend on the number of zeroes in base elements, for which we use the notation
j
.