Associated with every digraph is its underlying graph which is an undirected graph with the same vertex and edge set but "ignoring" the direction. So when we say that a directed graph is or isn't acyclic, we are implicitly referring to whether the underlying graph is acyclic.
Every undirected acyclic graph (aka a graph with no cycles) is by definition a tree. It is independent of how many edges it has.
How do I check if a directed graph is acyclic? And how is the algorithm called? I would appreciate a reference.
How do I check if a directed graph is acyclic? - Stack Overflow
Acyclic data is still reliable for machine control, it is just delivered in a less deterministic way (on the order of milliseconds, sometimes up to several seconds). When accessing a single VFD with a single PLC, you will probably never notice this bursting behavior, and in fact, you may perceive smoother and quicker data transmissions.
Can someone explain in simple terms to me what a directed acyclic graph is? I have looked on Wikipedia but it doesn't really make me see its use in programming.
Can someone explain in simple terms to me what a directed acyclic graph ...
Is every acyclic graph with $n$ vertices and $n -1$ edges a tree?
definition - What is a directed acyclic graph (DAG)? - Mathematics ...
A complex is acyclic if and only if it is exact. (see for instance Exercise 1.1.5 in Weibel's Homological Algebra book, or probably anyplace where this is defined). An object is acyclic for a functor if the derived functors of said functor vanish on the object. For instance a flasque sheaf for the global section functor.