1. In a directed graph, the ______ of a vertex is the number of edges coming toward the vertex and the _______ of a vertex is the number of edges coming away the vertex. 2. A graph H is a ______ of a graph G if all vertices and edges in H are also in G. 3. A graph is called __________ if it contains an Eulerian circuit.

Q: Given the following adjacency matrix: A В D E G H 1 B 1 1 1 1 1 D 1 1 1 1 F 1 G 1 H. Create a graph…

A: Here have to determine Adjacency Graph.

Q: The network diagram shows a series of water channels and ponds in a garden. The vertices A, B, C, D…

A:

Q: A graph is connected if O it is not comprised of 2 disjoint pieces O there is a circuit at any…

A: Answer is last option (THERE EXISTS A PATH BETWEEN ANY 2 VERTICES)

Q: alem graph: Caltulate the number D n= 6. edges graph? and Verkices f ())9: Fib(5) (44)

A: I have solved below:

Q: F B A E G D Draw the DFS forest of this graph, with the clock, pre-visit, post-visit numbers and…

A: Hey there, I am writing the required solution for the above stated question.

Q: Question 11 Refer to this graph for the next 6 graph questions The questions below refer to the…

A: A graph is a collection of vertices and edges, where vertices represent the nodes and edges…

Q: (2) Graph 1 Undirected (3) (4) Given the Graph 1 and Graph 2, Identify the following: 2 Graph 2…

A: A graph G(V, E) is a directed graph if all the edges in the graph G have direction.  Note: As per…

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: a. G3 is not a graph b. G3 is a connected graph c. G3 is not a connected graph d. G3 has three…

A: Here are the correct answers   c) G3 is not a connected graph d) G3 has three connected components…

Q: Graph or Non_Graph C A D B F E

A: A graph is a non-linear data structure. A graph has nodes and edges. Many real-world problem are…

Q: Kindly answer the attached question using python and without using any of its libraries

A: For above graph given we can find mother vertex using DEPTH FIRST APPROACH &  using O(V+E) time.…

Q: 1. Identify walk and path for the below graph: 2 5 i. Walk: ii. Path:

A: In you quetion the two vertex having the same name that is 5 so I change one vertex name which as…

Q: A graph with 27 vertices has an Euler path but no Euler circuit. The graph must have ____ vertices…

A: A graph without an Euler circuit but with an Euler path must be connected and have exactly two…

Q: Check it for the following; i. Find its chromatic number ii. Find the degree of the graph and write…

A: Chromatic Number is the number of colors or number of different names to represent the vertices…

Q: OAbove given is the design of US Airport(having Wings: A-C and Am our task is to create an adiacenoy…

A: First we have to draw the graph and the adjacency matrix:

Q: Are the following two graphs isomorphic? isomorphic not isomorphic

A: We are given two graphs and we are going to see if given two graphs are isomorphic to each other or…

Q: Question 6 A graph can be presented pictorially. The vertices are drawn as circles and a label…

A: I have answered both the parts . First we will see application of graph data structure. Then we will…

Q: An undirected weighted graph G is given below: 12 2 6 Figure 16: An undirected weighted graph has 6…

A: The Answer is

Q: Question 1 Every disconnected graph is a simple graph True False -- / Question 2 A graph is…

A: Answer 1 Disconnected Graph: A graph is considered disconnected if at least two of its vertices are…

Q: A graph G=(v, e) is a _______ graph, if we can partition V=L u R, s.t. all edges in E go between L…

A: We say that a directed edge points from the first vertex in the pair and points to the second vertex…

Q: 1. Construct a simple graph that is a forest with vertices M, N, O, P, Q, R such that the degree of…

A: As per our guidelines, we are supposed to answer only one question. Kindly repost the remaining…

Q: a) Given the graph G as shown in Figure 1. Figure 1: Graph G ) Write the features of V, E and…

A: The questions are to solve three queries and they are related to graph theory.

Q: Consider the graph in the figure below and answer the following: Question 3

A: (A) The types of variation in graph is directed, weighted and connected. (B)         0       1…

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: a) Explain how graphs can be used to model electronicmail messages in a network. Should the edges be…

A: A graph is a data structure that is used to represent the relationship between the objects or…

Q: 1. For the graph given below perform the following tasks A в R a. Perform a graph traversing…

A: The Answer is

Q: A _______ is a connected, simple graph that has no cycles. Vertices of degree 1 in a tree are called…

A: Answer: Answer is given in step 2     A graph containing cycles of any length is known as an acyclic…

Q: s. Which of the following ways can be used to represent a graph A. Adjacency List and Adjacency…

A: "Since you have asked multiple questions, we will solve first question for you. If you want specific…

Q: 5. Refer to the following given graph: 7 5 3 7 5 2 3 2 6 1 3 a) Show the adjacency matrix for the…

A: Given the graph , we have to show that adjacency matrix , breadth first traversal, shortest path…

Q: Describe an algorithm to find the shortest path from a certain vertex in a graph to a certain other…

A: 1. Bellman Ford's Algorithm: Bellman Ford's algorithm is used to find the shortest paths from the…

Q: :Question 1 G 1. Consider the undirected graph GA shown above. List the elements of V and E. Then,…

A:

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: 2. Show an adjacency matrix that represents the graph below. 2 3 B F H 2 2 8 E D

A: The answer is given below.

Q: True or False? Justify your answer. Let G be a graph. 1. If G has no isolated vertex then G is…

A: A graph is defined as a set of nodes (also known as vertices) and the edges that join node pairs in…

Q: Suppose a graph has 6 vertices of degree two, 12 vertices of degree three, and k vertices of degree…

A: Here in this question we have given that we have  6 vertices of degree 2 12 vertices of degree 3  k…

Q: Write a program that creates the minimum spanning tree for the graph in Figure

A: The minimum spanning tree algorithm is really just a graph search algorithm (depth-first or…