Bounding the sum of powers of the Laplacian eigenvalues of graphs

  • CHEN Xiao-dan, QIAN Jian-guo
  • Published 2011


For a non-zero real number α, let sα(G) denote the sum of the αth power of the non-zero Laplacian eigenvalues of a graph G. In this paper, we establish a connection between sα(G) and the first Zagreb index in which the Hölder’s inequality plays a key role. By using this result, we present a lot of bounds of sα(G) for a connected (molecular) graph G in terms… (More)