Confusion about the definition of an acyclic graph A graph is acyclic if it does not contain a cycle With that said, a directed graph is one where the edges are all endowed with a direction Associated with every digraph is its underlying graph which is an undirected graph with the same vertex and edge set but "ignoring" the direction
What is cyclic and acyclic communication? - Stack Overflow This is what I would consider cyclic communication, something that is always updating a certain type of information that can be sent as data So I might be completely wrong with this assumption, and that leaves me with the question of what exactly would be considered non-cyclic or acyclic communication Any help?
Acyclic vs Exact - Mathematics Stack Exchange 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
Whats the difference between the data structure Tree and Graph? Tree is a special kind of graph that has no cycle so that is known as DAG (Directed Acyclic Graph) Tree is a hierarchical model In graph, each node has one or more predecessor nodes and successor nodes The graph is traversed by using Depth First Search (DFS) and Breadth First Search (BFS) algorithms Graph has cycle so it is more complex
How do you correctly reason that this directed graph is acyclic? How can you correctly reason that this directed graph is acyclic? I can only visually say that this graph is acyclic because there is not a single path in the graph where the starting vertex is equal to the ending vertex