4 research outputs found
The exact maximal energy of integral circulant graphs with prime power order
The energy of a graph was introduced by {\sc Gutman} in 1978 as the sum of the absolute values of the eigenvalues of its adjacency matrix. We study the energy of integral circulant graphs, also called gcd graphs,which can be characterized by their vertex count and a set of divisors of in such a way that they have vertex set and edge set .Given an arbitrary prime power , we determine all divisor sets maximising the energy of an integral circulant graph of order . This enables us to compute the maximal energy \Emax{p^s} among all integral circulant graphs of order
The exact maximal energy of integral circulant graphs with prime power order
The energy of a graph was introduced by {\sc Gutman} in 1978 as the sum of the absolute values of the eigenvalues of its adjacency matrix. We study the energy of integral circulant graphs, also called gcd graphs,which can be characterized by their vertex count and a set of divisors of in such a way that they have vertex set and edge set .Given an arbitrary prime power , we determine all divisor sets maximising the energy of an integral circulant graph of order . This enables us to compute the maximal energy \Emax{p^s} among all integral circulant graphs of order