It is named after the mathematician Allan Gewirtz, who described the graph in his dissertation.

[1] The Gewirtz graph can be constructed as follows.

Consider the unique S(3, 6, 22) Steiner system, with 22 elements and 77 blocks.

Choose a random element, and let the vertices be the 56 blocks not containing it.

The Gewirtz graph is also determined by its spectrum.