True or false: A max flow of a graph is always the sum of a subset of its edges

Q: If there are total n nodes in a graph , its MST will possess n+1 edges True False

A: A graph with n nodes have exactly n-1 edges in minimum spanning tree or MST. Because first node and…

Q: T/F Each graph can have many number of spanning trees?

A: Task :- identify if given statement related to graph is true or false.

Q: S 5 D They start by making A the current vertex and assigning a tentative distance of 5 to B and a…

A: How Dijkstra's Algorithm WorksStart at Home: Choose your starting point (let's call it "Home").Check…

Q: list the bottleneck edges in the attached graph.

A: A graph is a data structure that consists of a set of vertices (or nodes) and a set of edges that…

Q: An independent path is the one, which traverses at least one new node in a flow graph. True False

A: True an independent path is any path through DD path graph that introduces at least one new set or…

Q: Additional Topics: Hamiltonian Paths and Cycles A Hamiltonian path in a directed graph is a path…

A: A Hamiltonian graph is one where you can find a path that visits every vertex exactly once. This…

Q: Find the lengths of the curves If you have graphing software, you may want to graph these curves to…

A: Given: y = x32x = 0x = 4

Q: The degree of a vertex is defined as O the total number of vertices O the number of paths containing…

A: The solution is given below with explanation

Q: Roberts operator is designed to respond maximally to edges running . 90 -45 45 180

A: Roberts operator is designed to respond maximally to edges running ___

Q: The ff. graph is: h

A: Planar graph: A planar graph is a graph where it must satisfy the condition the edges are intersect…

Q: This graph has an Eulerian tour or cycle O True O False

A: To determine whether a graph has an Eulerian tour or cycle, we need to consider the degrees of its…

Q: a d b a) Give the vertex set of the G. b) Give the set of edge of G. c) Find the degree of each of…

A: In this question we have been given with the graph and we have to answer for the graph theory…

Q: hat advantages does an adjacency matrix have over an adjacency list for representing a graph?

A: A basic data structure for representing relationships between pairs of items is a graph. A graph can…

Q: S1, x > 0 10, x < 0 On the same plot, graph the functions y = sin x, y = cos x, and y = on the…

A: NOTE : Answering in MATLAB, since programming language is not mentioned.   We have given three…

Q: Graph traversals may be explicitly defined using Which terminology.

A: Graph traversals may be explicitly defined using following terminology.

Q: The velocity of a car is v =t^2 – 3t Find the displacement for 1<t<5 am the acceleration at t=1.5.…

A: We need to create the vector of time in the range of 1 to 5 and then we need to compute the velocity…

Q: In data structures and algorithms,a connected Graph T without any cycle is called?

A: In data structures and algorithms, a connected Graph T without any cycle is called A tree graph. It…

Q: A graph that contains loops and possibly multiple edges is called a Simple graph Multigraph…

A: Question A graph that contains loops and possibly multiple edges is called a 1.Simple graph…

Q: Why is it better to use an adjacency matrix to represent a graph rather than an adjacency list?

A: Matrix of Adjacencies: Memory use is O(n2). It doesn't take long to look up and determine whether or…

Q: What is a reason for using an adjacency matrix instead of an adjacency list to represent a graph?

A: Adjacency Matrix Uses O(n^2) memoryIt is fast to lookup and check for the presence or absence of a…

Q: In graph theory how does the addition of edges impact the properties of an adjacency matrix?

A: Graph theory is a branch of discrete mathematics that explores the relationships between…

Q: bound on the number of articulation points in a graph is the number of biconnected components minus…

A: Articulation Points :- A vertex whose removal increases the number of connected components is called…

Q: 37. A graph is connected if and only if there is a A. Path B. Trail C. Walk D. All of the Above…

A: Path: The edges that are present between a pair of vertices. In path, every edge and every vertex…

Q: The length of a path in an Unweighted Graph is defined as:     Number of vertices in the path.…

A: The length of a path in an Unweighted Graph is defined as: Number of edges in the path.

Q: Q1: Make a graph for linear equation. r+y = 1

A: The general equation of linear equation is y=mx+c where m is the slope of the line and c is the…

Q: Task 3. Adjacency List using linked list. Your program must ask the number of vertices and then the…

A: Read the number of vertices (numVertices) from the user.Initialize an array of linked list nodes…

Q: Use set notation to sow the adjacency list for the following graph >>

A: Graph and its representation: A graph is a type of data structure that is made up of two parts:1. A…

Q: Given a directed graph G=(V, E), design an algorithm to find out whether there is a route between…

A: DFS Pseudo code  DFS (V,E) for each vertex u in V[G] do color[v] ← GRAY π[v] ← NIL  // predecessor…

Q: The Douglas-Peucker algorithm is for the selection of representative points to simplify a curve…

A: At first, the improvement comprises of a solitary edge. During the initial step, the fourth vertex…

Q: From the following weighted graph, which edge you will choose as a third edge using Kruskal's…

A: We need to find the 3rd chosen edge using Kruskals algorithm for the given graph.

Q: What is the rationale for utilizing an adjacency matrix rather than an adjacency list to represent a…

A: Information for beginners: O(n2) memory is used by Adjacency Matrix. The existence or absence of a…

Q: To generate histogram graph, we can use the function histograph) None of these histogram() hist()

A: The correct answer is as follows:-

Q: How Many Spanning Trees Can A Graph H

A: How Many Spanning Trees Can A Graph Has :

Q: Graph is a type of non-linear data structure that consists of vertices or nodes connected  by edges…

A: Given: Give an example of how the graph data structure is used.

Q: Create an algorithm that returns true if a graph contains a Hamiltonian cycle, and false otherwise…

A: Due to company policies I am compelled to solve only one question and that is the first question.…

Q: 4- The --------enables you to add plots to an existing graph.

A: The answer is Hold command

Q: Path is a walk in which all edges are distinct.

A: TRUE

Q: The number of elements in the adjacency matrix of a graph having 7 vertices is: O a. 36 O b. 7 O c.…

A: Here is the epxlanation of adjacency matrix of a graph having 7 vertices. See below steps.

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.