Graphs Data Structure Questions

If a graph has negative weight cycles, what can we say about finding the shortest path?

You are designing a social network and want to recommend friends to users. What graph algorithm would be most suitable for identifying potential friends based on shared connections?

Consider a social network graph where vertices are users and edges are friendships. Which representation would be best for quickly finding all the friends of a particular user?

In the context of Kruskal's algorithm, what data structure is commonly used to efficiently detect cycles during edge addition?

Which graph traversal algorithm is most efficient for detecting cycles in a directed graph, crucial for identifying dependencies in a project management system?

If you need to perform frequent edge insertions and deletions in a graph, which representation might be preferred?

In an undirected graph represented using an incidence matrix, what would be the sum of the values in a single column?

Which of the following real-world scenarios is best modeled using a weighted graph with potentially negative edge weights?

Which algorithm efficiently calculates the shortest paths between all pairs of nodes in a weighted graph, useful for analyzing network connectivity in social networks?

Social media platforms utilize graph analysis to detect communities or clusters of users with shared interests. What graph concept is employed to identify these densely connected groups?