We show that a transitively reduced digraph has a confluent upward drawing if and only if its reachability relation has order dimension at most two. In this case, we construct a confluent upward drawing with O(n 2) features, in an O(n) ×O(n) grid in O(n 2) time. For the digraphs representing series-parallel partial orders we show how to construct a drawing with O(n) features in an O(n) ×O(n) grid in O(n) time from a series-parallel decomposition of the partial order. Our drawings are optimal in the number of confluent junctions they use. © 2012 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Eppstein, D., & Simons, J. A. (2012). Confluent hasse diagrams. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7034 LNCS, pp. 2–13). https://doi.org/10.1007/978-3-642-25878-7_2
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