  Structural analysis in network science is finding the information hidden from
the topology structure of complex networks. Many methods have already been
proposed in the research on the structural analysis of complex networks to find
the different structural information of networks. In this work, the sum of
nodes' betweenness centrality (SBC) is used as a new structural index to check
how the structure of the complex networks changes in the process of the
network's growth. We build two four different processes of network growth to
check how the structure change will be manifested by the SBC. We find that when
the networks are under Barab\'asi-Albert rule, the value of SBC for each
network grows like a logarithmic function. However, when the rule that guides
the network's growth is the Erd\H{o}s-R\'enyi rule, the value of SBC will
converge to a fixed value. It means the rules that guide the network's growth
can be illustrated by the change of the SBC in the process of the network's
growth. In other words, in the structure analysis of complex networks, the sum
of nodes' betweenness centrality can be used as an index to check what kinds of
rules guide the network's growth.
