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Graph Theory Module 6

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Questions and Answers

What is a graph in terms of abstract data type?

An array of vertices and edges
A pair of sets of vertices and edges connecting them (correct)
A set of vertices and edges separately
A collection of items connected by edges

What represents each node in the graph?

Vertex (correct)
Path
Adjacency
Edge

What is the set of edges connecting the pairs of vertices in the graph?

Adjacency
V
E (correct)
Path

What is an edge in a graph?

A line or a path connecting two vertices (A) Signup and view all the answers

What is adjacency in a graph?

When two vertices or nodes are joined by an edge (B) Signup and view all the answers

What is a path in a graph?

A set of edges connecting two vertices (C) Signup and view all the answers

What is one of the most popular operations on graphs?

Traversing a graph visiting each vertex in order (C) Signup and view all the answers

What is the set of vertices in the graph?

V = {a, b, c, d, e} (B) Signup and view all the answers

What is the algorithm that traverses a graph by visiting each vertex in descending order of depth?

Depth First Search (C) Signup and view all the answers

What data structure is used by the DFS traversal to record the unvisited nodes?

Stack (D) Signup and view all the answers

What is the type of graph that has edges that possess a direction that goes either away from a vertex or towards the vertex?

Directed Graph (A) Signup and view all the answers

What is the type of graph that has edges that are not directed at all?

Undirected Graph (D) Signup and view all the answers

What is the adjacency matrix used to represent in a graph?

Edges between vertices (A) Signup and view all the answers

What is the adjacency list used to represent in a graph?

List of vertices directly connected to other vertices (C) Signup and view all the answers

What algorithm is used to traverse a graph by visiting every vertex at a given depth level before going on to the next?

Breadth First Search (C) Signup and view all the answers

What is the data structure used by the BFS traversal to maintain track of the unvisited nodes?

Queue (A) Signup and view all the answers