Edge Classification. When Depth-First algorithm is applied on graphs, it is possible to have Back, Forward or Cross Edges. Therefore: • Which kind of edges (Back, Forward or Cross Edges) is possible on undirected graphs? Describe your answer.

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.

Please make a graph by hand for each step. no code

A graph has the following edge-endpoint function table. Edge Edgepoints {v. v3} e2 {v2 v3} {v3, Va} {va Vs} e4 {v3, Vs} es {v5, Vs) es ez {vs, V7} eg {v, Vs} eg {v2, v;} Based on the preceding table, find the number of edges incident on the designated vertic Number of edges Vertices incident on the vertex V1 V2 V3 VA V5 V6 V7 V8

Write to code describes how to create the links dataset that represents the input graph. In this particular case, the links represent a directed network. The links dataset has only the nodes identification, which means, the from and to variables. The link weights in the transitive closure problem are irrelevant. In other words, it doesn’t matter the cost or the weight of the links, the algorithm searches for the possible paths to connect the nodes within the input graph. If there is a link or a set of links, no matter the weights, that connects node i to node j, that is the matter.