Let G=(V,E) be a basic graph and I-M-A-N be a Quadrilateral. If V is a subset of people set,G is called World Graph. If the vertices I and M are non-adjacent, this quadrilateral is called  IMAN-cycle.

In this paper, basic properties of iman-cycles in world graphs are studied and some characterization results are given.

Keywords: world graph, quadrilateral and iman-cycle.