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  1. definition - What is a directed acyclic graph (DAG)? - Mathematics ...

    Feb 26, 2019 · Definition: A DAG is a finite, directed graph with no directed cycles. Reading this definition believes me to think that the digraph below would be a DAG as there are no directed cycles …

  2. Confusion about the definition of an acyclic graph

    Dec 23, 2019 · On the other hand, I found this website which claims this is a directed acyclic graph: But by Definition 2, I can just ignore edge direction and create undirected cycles, like $1\rightarrow 2 …

  3. What is the equivalent of a tree for directed graphs?

    May 14, 2019 · A tree is defined as a connected acyclic undirected graph at page 171 of this online book. What is the equivalent of a tree for directed graphs? A connected acyclic directed graph (i.e. a …

  4. bipartite graph vs. directed acyclic graph - Mathematics Stack Exchange

    May 15, 2014 · A directed acyclic graph need not be bipartite, and a directed bipartite graph need not be acyclic. For example, the graph on 3 vertices with directed edges $\ {v_1 \rightarrow v_2, v_1 …

  5. Maximum number of edges in a directed graph on $n$ vertices without ...

    Dec 4, 2017 · If it was any more than n-1, then there is one node which is in both the in-degree and out-degree implying a cycle. Therefore each node than can have n-1 edges adjacent on it and so the …

  6. combinatorics - How many directed acyclic graphs (DAG) s are possible ...

    Oct 18, 2020 · How many directed acyclic graphs (DAG) s are possible using N vertices? Ask Question Asked 5 years, 1 month ago Modified 5 years, 1 month ago

  7. directed graphs - Can a DAG have strongly connected components ...

    Feb 22, 2023 · A directed graph is acyclic if and only if it has no strongly connected subgraphs with more than one vertex, because a directed cycle is strongly connected and every non-trivial strongly …

  8. Solved Consider the three graphs below. Graph in Figure 1 is - Chegg

    Graph in Figure 1 is an undirected graph. Graph in Figure 2 is a directed graph. Graph in Figure 3 is a directed acyclic graph. Figure 1: Figure 2: Using the vertex A as a starting point and, otherwise, …

  9. Solved Consider an arbitrary computation graph G, which is - Chegg

    Question: Consider an arbitrary computation graph G, which is a directed acyclic graph consiting of a source node representing the variable x and a sink node representing the node f. The derivative …

  10. Prove that every acyclic directed graph has at least one source and at ...

    Nov 30, 2016 · Let us suppose we have an arbitrary directed acyclic graph $ (G,E)$. How do we prove that it has at least one source and one sink? PS: A vertex in a directed graph is a source if there are …