  Business Architecture (BA) plays a significant role in helping organizations
understand enterprise structures and processes, and align them with strategic
objectives. However, traditional BAs are represented in fixed structure with
static model elements and fail to dynamically capture business insights based
on internal and external data. To solve this problem, this paper introduces the
graph theory into BAs with aim of building extensible data-driven analytics and
automatically generating business insights. We use IBM's Component Business
Model (CBM) as an example to illustrate various ways in which graph theory can
be leveraged for data-driven analytics, including what and how business
insights can be obtained. Future directions for applying graph theory to
business architecture analytics are discussed.
