The study on graphs emerging from different algebraic structures such as groups, rings,
fields, vector spaces, etc. is a prominent area of research in mathematics, as algebra and …

We consider generalized Paley graphs Γ (k, q), generalized Paley sum graphs Γ+(k, q), and
their corresponding complements Γ¯(k, q) and Γ¯+(k, q), for k= 3, 4. Denote by Γ= Γ∗(k, q) …

We consider a special class of generalized Paley graphs over finite fields, namely the
Cayley graphs with vertex set Fqm and connection set the nonzero (qℓ+ 1)-th powers in …

The A-energy of a graph G, denoted by EA (G), is defined as sum of the absolute values of
eigenvalues of adjacency matrix of G. Nikiforov in Nikiforov (2016) proved that EA (G¯)− EA …

We consider a special class of generalized Paley graphs over finite fields, namely the
Cayley graphs with vertex set $\mathbb {F} _ {q^ m} $ and connection set the nonzero …

The energy of a graph is that the total of absolute values of its eigenvalues. In this paper, we
investigate the energy of complement of extended bipartite double graphs, complement of …

Finding non-cospectral trees and their equienergetic graphs without using computer search
is a long standing problem in graph energy theory. We first find an infinite families of non …