The graph that has been traversed can be considered acyclic if and only if the Depth-first Search (DFS) algorithm does not identify any back edges?

Q: Mc2  Write an algorithm to determine whether an undirected graph of |V| vertices contains a cycle.…

A: Hello

Q: Explain Connected Components Of Undirected Graph Using BFS?also write PseudoCode for the algorithm

A: The answer is given below.

Q: What graph traversal can be used to find all the possible traversal combinations from one given…

A: What is data structure: A data structure is a way of organizing and storing data in a computer's…

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A: KRUSKAL'S ALGORITHM: Kruskal algorithm is an algorithm which is used to get a minimum spanning tree…

Q: Write Algorithm Bar Visibility Input: a biconnected plane graph G = (V,E) Output: a bar visibility…

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Q: In a directed graph, the sum of all in-degrees is always equal to the sum of all out-degrees. O True…

A: According to the asked question, the solution is given below with a proper explanation.

Q: A “star graph” consists of a single central node and n – 1 other nodes connected to it. What is the…

A: A central node in a network refers to a node that holds a significant or influential position within…

Q: Write code for Iterative Depth First Search of a Graph and explain?

A: In a state space or graph search approach known as iterative deepening search (IDS or IDDFS), a…

Q: Question 18 Find the list of vertices following the breadth-first traversal of the graph below…

A: Here in this question we have given a graph with sources vertex 0.and we have asked to apply BFS…

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A: An undirected graph is the graph in which nodes are connected without any directions. All the…

Q: Write a function that returns true (1) if there is an edge between two vertices u and v in an…

A: Since you are not mentioning the programming language, here we are using C++ to complete the…

Q: A Graph consists of four vertices A, B, C and D. If we start from A, which vertex will be visited…

A: Question A graph consists of four vertices A,B,C, and D if we start from A, which vertex will be…

Q: Given a directed graph with non-negative edge weights, suppose we have computed the shortest paths…

A: Introduction A directed graph, also known as a digraph, is a graph in which edges have a direction…

Q: The graph expansion algorithm that involves building a complete graph over the terminal (leaf)nodes…

A: The question is asking about a specific type of graph expansion algorithm. Graph expansion…

Q: Relaxing the Edges |V|+1 times on a directed graph will compute whether the graph has negative cycle…

A: Answer is given below .

Q: 12- A Graph consists of four vertices A, B, C and D. If we start from A, which vertex will be…

A: Refer to step 2 for the answer.

Q: The graph expansion algorithm that involves building a complete graph over the terminal (leaf)nodes…

A: The question is asking about a specific type of graph expansion algorithm. Graph expansion…

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Depth First Search

Depth-first search (DFS) also known as Depth First traversal is an algorithm used to traverse or search the nodes in a tree or graph data structure. Traversal usually means visiting all the nodes of a graph. DFS performs in a depth-ward manner. It uses a stack to remember the vertices it has visited. The search starts from the root node, where any arbitrary node is selected as a root node in a graph, and then each node is explored along each branch before performing backtracking. The DFS algorithm uses a recursive technique by following the idea of backtracking. DFS algorithm does this by performing an in-depth search of all the nodes by traversing in a forward direction. If the required node is not found, it starts backtracking to previously visited nodes.