Extremal Graph Theory for Degree Sequences

In extremal graph theory, one is interested in the relations between the variants, such as spectral radius, wiener index, especially those connected best possible inequalities. In this talk, we introduce some progress and new results on the graph variants, including spectral radius, Laplacian spectral radius, the Wiener index, the Harry index and the number of subtrees for a class of graphs with a given degree sequence. In addition, some problems are concluded.