A survey on Randić (normalized) incidence energy of graphs

Abstract

For a graph G of order n with normalized signless Laplacian eigenvalues g + 1 ≥ g + 2 ≥ ··· ≥ g + n ≥ 0, the Randić (normalized) incidence energy is defined as ' IRE(G) = ∑ n i=1 q g + i . In this paper, we present a survey on the results of IRE (G), especially with emphasis on the properties, bounds and Coulson integral formula of IRE (G).