Graphic presentations of isotropic systems (Q1113912)

This is a continuation of some previous papers of the author on isotropic systems and their applications [Eur. J. Comb. 8, 231-244 (1987; Zbl 0642.05015); Combinatorica 7, 243-254 (1987); SIAM J. Algebraic Discrete Methods 8, 323-337 (1987; Zbl 0641.05019)]. The main purpose of this paper is to give a representation of isotropic systems by simple graphs. More specifically, the author proves that the class of the fundamental graphs of an isotropic system coincides with a class of locally equivalent graphs, and that every simple graph is a fundamental graph of some isotropic systems.