Note: when it comes to graph theory, understanding the formal definitions is important because they build on one another. Be careful to think precisely when working with questions about definitions. For example, if a question uses the term "path", be careful not to assume that the paths are "simple paths".

What type of graph would be best for representing a network of friends on social media, where friendships are mutual? (i.e, if person A is person B's friend, person B is also person A's friend)

Choice 1 of 2:Undirected graph

Choice 2 of 2:Directed graph

The best type of graph for representing a network of friends on social media, where friendships are mutual (i.e., if person A is person B's friend, person B is also person A's friend), is an **undirected graph**.

In an undirected graph, the edges between vertices do not have a direction, meaning that if there is an edge between vertex A and vertex B, it implies a mutual relationship. This fits the scenario of mutual friendships perfectly, where the friendship relationship works both ways.

**Choice 1 of 2: Undirected graph** is the correct choice.

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

1. What is the difference between a simple graph and a multigraph?
2. How would you represent a one-way (non-mutual) relationship in a graph?
3. What is a weighted graph, and how could it be used in social network analysis?
4. How does the concept of a "connected graph" apply to social networks?
5. What are some real-world applications of directed graphs beyond social networks?

**Tip:** When working with graph theory, always clarify whether the graph is directed or undirected, as this fundamentally changes the interpretation of relationships in the graph.

Understand the best type of graph for representing a network of friends on social media, focusing on mutual friendships. Learn about undirected graphs and their suitability for modeling mutual relationships in social networks.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation