directed acyclic graph

plural directed acyclic graphs

1. computerA finite directed graph that contains no directed cycles.

   In studying these properties, a distinction is made between directed acyclic graphs with directed edges and simple acyclic graphs with undirected edges.[…]A directed acyclic graph G#61;(V#59;R) is asymmetric and does not contain cycles.

   2001, Peter J. Pahl, Rudolf Damrath, Mathematical Foundations of Computational Engineering: A Handbook, Springer, page 574

   2 more examples

   1995, Volker Turan, Weimin Chen, GLB-closures in Directed Acyclic Graphs and Their Applications, Ernst W. Mayr, Gunther Schmidt, Gottfried Tinhofer (editors), Graph-Theoretic Concepts in Computer Science: 20th International Workshop, Proceedings, Springer, LNCS 903, page 121, A subset S of the vertices of a directed acyclic graph is called glb-closed, if it contains the greatest lower bounds of all pairs of vertices of S. […] Directed acyclic graphs are widely used in different areas of computer science.

   2011, Michael Donders, Sara Miner More, Pavel Naumov, Information Flow on Directed Acyclic Graphs, Lev D. Beklemishev, Ruy de Queiroz (editors), Logic, Language, Information, and Computation: 18th International Workshop, Proceedings, Springer, LNAI 6642, page 95, A logical system that describes the properties of this relation for an arbitrary fixed directed acyclic graph is introduced and proven to be complete and decidable.

   Synonyms: acyclic digraph, acyclic directed graph, DAG