Consider the graph in Figure 20-20. Find the shortest distance from node 0 to every other node in the graph.

This has 7 points on the graph, Can i see one with 10 like said in the original question?

Consider an undirected graph G with 100 nodes. The maximum number of edges to be included in G so that the graph is not connected is

Question 4: Find the Shortest Path Tree for the given graph using Dijkstra’s algorithm and writeall the steps. The source is from “Home”

Mark Zuckerberg, the CEO of Facebook, has hired you to lead the Facebook Algorithms Group. He has asked you to use various graph algorithms to analyze the world's largest social network. The Facebook Graph has 2.8 billion vertices, with each vertex being a Facebook user. Two vertices are connected provided those two users are "friends". The first decision you need to make is how you want to model the Facebook graph. Determine whether you should use an adjacency-list representation or an adjacency-matrix representation.

Write an algorithm using depth-first search that determines if a graph is bipartite. What is the complexity of your algorithm?

Explain how one can check a graph’s acyclicity by using breadth-first search.

No code please and thank you.

With a given graph below, run the Bellman-Ford Algorithm to find the shortest path from node s to all nodes.  For example,   (0, 100, 23, 300, 50)  for (node 1, node 2, node 3, node 4, node 5)

How many spanning trees does the following graph have?