  Quantum Monte Carlo approaches based on the stochastic sampling of the
determinant space have evolved to be powerful methods to compute the electronic
states of molecules. These methods not only calculate the correlation energy at
an unprecedented accuracy but also provides insightful information on the
electronic structure of computed states, e.g. the population, connection, and
clustering of determinants, which have not been fully explored. In this work,
we devise a configuration graph for visualizing the determinant space,
revealing the nature of the molecule's electronic structure. In addition, we
propose two analytical descriptors to quantify the extent of configuration
clustering of multi-determinant wave functions. The graph and descriptors
provide us with a fresh perspective of the electronic structure of molecules
and can assist the further development of configuration interaction based
electronic structure methods.
