  A configuration of the triple $(\mathcal{P}, \mathcal{L}, \mathcal{I})$ on
the incidence relation which holds the properties of "Any two points are
incident with at most one line" and "Any two lines are incident with at most
one point". In projective geometry, bipartite graphs can be used as an
incidence model between the points and the lines of a configuration. The graphs
associated with a space are a good tool for understanding the topological and
geometric properties of the space. in abstract systems. In this paper, we
define a novel graph associated with circular space and obtain its properties
in terms of some pure-graph invariants. Also, we characterize it regarding the
graph associated with other spaces in the literature.
