  The structure entropy is one of the most important parameters to describe the
structure property of the complex networks. Most of the existing struc- ture
entropies are based on the degree or the betweenness centrality. In order to
describe the structure property of the complex networks more reasonably, a new
structure entropy of the complex networks based on the Tsallis nonextensive
statistical mechanics is proposed in this paper. The influence of the degree
and the betweenness centrality on the structure property is combined in the
proposed structure entropy. Compared with the existing structure entropy, the
proposed structure entropy is more reasonable to describe the structure
property of the complex networks in some situations.
