E. Dahlhaus, EFFICIENT PARALLEL RECOGNITION ALGORITHMS OF COGRAPHS AND DISTANCE HEREDITARY GRAPHS, Discrete applied mathematics, 57(1), 1995, pp. 29-44
A parallel algorithm to recognize cographs with a linear processor bou
nd and a log2n time bound is presented. This result extends the result
of Adhar and Peng (1990). Moreover, we get a better time processor pr
oduct than the algorithm of Lin and Olariu (1991). As a consequence di
stance hereditary graphs can be recognized by the same processor and t
ime bound.