The **out-degree** of a node (or vertex) in a directed graph is the number of edges that originate from that node and point to other nodes. In other words, it's the count of edges leaving the node.

To determine the out-degree of node 0, you would need to examine the directed edges in the graph and count how many of them start at node 0 and lead to other nodes.

Without a specific graph provided, I can't give you the exact out-degree of node 0, but the general procedure is as follows:

1. **Identify all outgoing edges** from node 0.
2. **Count these edges** to determine the out-degree.

If you have a specific graph in mind, feel free to describe it or upload an image, and I can calculate the out-degree for node 0.

Would you like more details or have any questions? Here are some related questions to think about:

1. What is the difference between in-degree and out-degree in a directed graph?
2. How does the out-degree relate to the total number of edges in a graph?
3. Can a node in a directed graph have an out-degree of zero? What does this imply?
4. How does out-degree play a role in algorithms like PageRank?
5. What is the out-degree of a node in an undirected graph?

**Tip:** In directed graphs, the sum of the out-degrees of all nodes is equal to the total number of edges in the graph.

Explore the concept of out-degree in directed graphs and specifically calculate the out-degree of node 0. Learn about the basics of graph theory, directed edges, and how to determine the out-degree of a node in a directed graph. Suitable for advanced mathematics enthusiasts.

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