The AT-free order is a linear order of the vertices of a graph the existence of which characterizes AT-free graphs. We show that all AT-free orders of an AT-free graph can be generated in O(1) amortized time.
Chang, J. M., Kloks, T., & Wang, H. L. (2016). Gray codes for AT-free orders via antimatroids. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9538, pp. 77–87). Springer Verlag. https://doi.org/10.1007/978-3-319-29516-9_7