Graphs in social networks in Data Structures Theory - Practice Problems & Coding Challenges

Challenge - 5 Problems

🧠 Conceptual

intermediate

Understanding Graph Representation in Social Networks

In social networks, users and their connections can be represented as a graph. Which of the following best describes how a social network graph is typically represented?

A Nodes represent users and edges represent friendships or connections between users.

B Edges represent users and nodes represent the messages sent between them.

C Nodes represent messages and edges represent the time when messages were sent.

D Edges represent the number of posts a user has made, and nodes represent the user's profile.

💡 Hint

Think about what the main entities and their relationships are in a social network.

In social networks, each user is represented as a node (or vertex), and the connections or friendships between users are represented as edges (or links) connecting these nodes.

📋 Factual

intermediate

Types of Graphs in Social Networks

Which type of graph is most commonly used to represent mutual friendships in social networks?

A Tree graph where there is a single root user connected to all others.

B Directed graph where edges have a direction from one user to another.

C Weighted graph where edges represent the number of messages exchanged.

D Undirected graph where edges have no direction, representing mutual connections.

💡 Hint

Mutual friendships mean both users agree on the connection.

Mutual friendships are best represented by undirected graphs because the connection is two-way and does not have a direction.

🚀 Application

advanced

Analyzing Social Network Connectivity

Consider a social network graph where each node is a user and edges represent friendships. If a user has no edges connected to them, what does this imply about that user?

A The user has the most connections in the network.

B The user has no friends or connections in the network.

C The user is the central hub of the network.

D The user is connected to every other user in the network.

💡 Hint

Think about what it means to have zero edges connected to a node.

If a node has no edges, it means the user has no connections or friends in the social network graph.

🔍 Analysis

advanced

Impact of Removing a Node in a Social Network Graph

In a social network graph, what is the likely effect of removing a highly connected node (a user with many friends) on the overall network?

A The network becomes more connected because the node was blocking connections.

B There is no effect because nodes do not affect edges.

C The network may split into smaller disconnected groups or communities.

D The network automatically adds new edges to compensate.

💡 Hint

Consider what happens when a key user with many connections leaves the network.

Removing a highly connected node can break connections between groups, causing the network to split into smaller disconnected parts.

❓ Reasoning

expert

Determining the Shortest Path in a Social Network

In a social network graph, what does the shortest path between two users represent?

A The minimum number of connections needed to link the two users.

B The maximum number of friends one user has.

C The total number of users in the network.

D The number of messages exchanged between the two users.

💡 Hint

Think about how you might find the quickest way to reach a friend through mutual friends.

The shortest path is the smallest number of edges connecting two users, showing how closely they are linked through mutual friends.