A note on sum of powers of the Laplacian eigenvalues of graphs

作者：Liu, Muhuo; Liu, Bolian^*

来源：Applied Mathematics Letters, 2011, 24(3): 249-252.

DOI：10.1016/j.aml.2010.09.013

• Laplacian matrix
• Laplacian eigenvalues
• Degree sequence

For a graph G and a real number alpha not equal 0, the graph invariant s(alpha)(G) is the sum of the alpha th power of the non-zero Laplacian eigenvalues of G. This note presents some bounds for s(alpha) (G) in terms of the vertex degrees of G, and a relation between s(alpha) (G) and the first general Zagreb index, which is a useful topological index and has important applications in chemistry.

• 出版日期2011-3
• 单位华南农业大学; 华南师范大学