Gutman, IvanFurtula, BorisBozkurt, S. Burcu2020-03-262020-03-2620140024-37951873-1856https://dx.doi.org/10.1016/j.laa.2013.06.010https://hdl.handle.net/20.500.12395/31035The Randic matrix R = (r(ij)) of a graph G whose vertex vi has degree d(i) is defined by r(ij) = 1/root d(i)d(j) if the vertices v(i) and v(j) are adjacent and r(ij) = 0 otherwise. The Randic. energy RE is the sum of absolute values of the eigenvalues of R. RE coincides with the normalized Laplacian energy and the normalized signless-Laplacian energy. Several properties or R and RE are determined, including characterization of graphs with minimal RE. The structure of the graphs with maximal RE is conjectured. (C) 2013 Elsevier Inc. All rights reserved.en10.1016/j.laa.2013.06.010info:eu-repo/semantics/openAccessGraph spectrumGraph energyRandic matrixRandic energyNormalized Laplacian matrixNormalized signless Laplacian matrixNormalized Laplacian energyArticle4425057Q1WOS:000329143500004Q1