Mark the following statements true or false: 1. In a rooted tree the vertices are ordered.  2. There are multiple paths between two vertices of a tree.    3. In a tree there are cycles.  4. A forest is a graph without cycles.

Q: 3. Refer to the graph G below. w h P I a y G Map out all of the following graphs: a) walk b) path c)…

A: As per our guidelines, we are supposed to answer only 1st three parts. Kindly repost the remaining…

Q: Write a java program Consider flight network having places of departure and destination. Flight…

A: GIven a scenario where flight networks will have departure and destination. The above scenario os…

Q: You are given a tree with n vertices numbered 1,… ,n. A tree is an associated basic diagram without…

A: Here have to determine about the Range Diameter Sum programming problem statement.

Q: 2 1 2 15-3-4/ 3 24/ 4 5/ 25-3/ 4--0-27 The picture represents the adjacency list of a graph. This is…

A: The picture represents the adjacency list of a graph. This is an undirected graph. Lets…

Q: Explain what a spanning tree is: a graph with no loops.

A: Introduction: Spanning Tree: A spanning tree is a subgraph of an undirected connected graph that…

Q: This figure could be all the following EXCEPT 92 60 74 43 45 52 51 35 29 31 36 Select one: A.An…

A: We need to find the wrong option for the given graph.

Q: For each of the following statements, decide whether it is true or false. If it is true, include a…

A: In these questions, we are given 3 statements and we have to check whether they are true or false.

Q: Draw a tree that represents this maze: A B C I D E K H F G L

A: Here are the observations from the diagram 1) A is the starting point 2) B is left to A and D is…

Q: Consider the graph shown below. Suppose d(X) denotes the degree of vertex X. For each X, such that X…

A: what is degree of vertex?  degree of vertex is count of edges going through it According to above…

Q: Suppose you have a graph with N vertices. What is the largest number of edges it may have? log N…

A: Below is the answer assuming the graph provided is an undirected graph.

Q: A tree is a connected directed graph with no simple circuits. True False

A: A tree is either a linked network with no cycles or a connected acyclic graph.Branches are the…

Q: Fill in the blanks: b Vertex d is an vertex. Vertex c is a vertex. Since no edge is incident on…

A: Vertex with degree 0 is called isolated vertex ... Vertex with degree 1 is leaf

Q: 1. This question is about type of graphs. Construct a graph with exactly 5 nodes such that the graph…

A: We have to construct graphs with exactly 5 nodes such that graph is not connected and graph is not…

Q: A graph G is depicted in the diagram below. 3 6 a) What is the total degree of G? b) List the…

A: The Answer is

Q: Answer the following items using the graph below. A B H D G E a. List all the vertices. b. List all…

A: NOTE: Since the given question is multipart we are advised to do only first three question. Kindly…

Q: Answer the following questions based on the graph below: 1 E 3 F 5, B d) What is the size of the…

A: The size of a graph is simply defined as the number of edges that are present in the given graph…

Q: g h k d e f b c a The term DAG stands for Directed Acyclic Graph. Is this graph a DAG? O Yes, it is…

A:

Q: Answer the questions below based on the given graph G. e3 V1 ei V2 e4 V4 eii e6 V6 V7 V5 e9 e7 V8 G…

A: 1. Adjacent vertices of a vertex are the vertices which have a common edge to the particular vertex.…

Q: 5. Draw a W, graph and label the vertices. Use a breadth first search starting at the central vertex…

A: W in W7 graph refers to a wheel graph which means is a chart framed by associating a solitary…

Q: Draw an example of a graph that cannot be colored by 4 colors (where the two ends of an edge are not…

A: The question is: Draw an example of a graph that cannot be colored by 4 colors (where the two ends…

Q: Draw a graph with the givnn apecifications of explain why no such graph exists? A Graph, two…

A: A vertex of a graph is one of the objects that are connected together.

Q: write a java language program, Consider flight network having places of departure and destination.…

A: public class Main                                                 // Create a Main class{public void…

Q: (mod 9) 6 = 24 = !4 True False O It is possible draw a graph that : is it a tree, .has 5 vertices,…

A: Answer : 1) False  (mod 9) 6  is equal to 6. which is not equal to !4 = 24

Q: Perform A* search on the following state space graph, starting at A and reaching G. Draw the search…

A: Given the state space graph we have to perform A* Search starting at A and reaching G.

Q: 2. _______ cannot be a part of a bridge. a) a simple cycle b) a tree c) a clique with size ≥ 3 whose…

A: 2. _______ cannot be a part of a bridge. a) a simple cycle b) a tree c) a clique with size ≥ 3 whose…

Q: Consider the rooted tree with root a illustrated below.     How many leaves does it have at level…

A: The given problem is related to a Rooted tree where a rooted tree is a data structure that has a…

Q: 1. A graph G is depicted in the diagram below. 1 2 3 6 5 a) What is the total degree of G? b) List…

A: - With the restrictions we have as our guidelines we are allowed to answer the first three questions…

Q: 6. Look at the graph below. VI V2 V6 Yo. What is the order and what is the size of this graph? ii.…

A: As per our guidelines, only 3 sub parts will be answered. So, please repost the remaining questions…

Q: Question 3 Which of the following are properties of every tree? O The graph is connected O The graph…

A:

Q: Find and draw two examples where a graph G and its complement G ̄ are both trees.

A: Complement Of Graph- Complement of a basic graph G is a basic graph G' having- All the vertices of…

Q: 43. Find a Steiner tree of the graph K, with the vertices b, j, d, h by listing the edges that form…

A: According to the information given:- We have to find the Steiner tree of the graph K5

Q: 2 16 1 4 (32) (128) 8. (64) Given the graph above, answer the following questions below regarding…

A: Answer(A) : 5  5vertex are connected by vertex 32  so the no. of neighbor of vertex(32) is 5…

Q: What are the similarities and differences between a tree and a graph? This is about programming.

A: Given: What are the similarities and differences between a tree and a graph? This is about…

Q: A simple graph is a tree if there is at least one simple path between any two of its vertices. True…

A: Refer to step 2 for the answer.

Q: 3. (1) Replace the numbers B1, B2, B4, and B8 as you got in Question 1 in the graph below. (2) Find…

A: DIJKASTRA ALGORITHM is used to find shortest path .start from source .

Q: What is the difference between the data structures of a tree and a graph?

A: Given: What is the difference between the data structures of a tree and a graph?

Q: Consider the following algorithm for generating a tree on N vertices: Number the vertices 1 to N.…

A: C++ program is implemented below to generate  tree with  N vertices  processing a vertices in order

Q: Any connected graph with 7 vertices and 6 edges will form a O Tree O A complete graph with 7…

A: Explanation: Any connected graph with n vertices and n-1 edges will always form a tree. so option…

Q: Differentiate between a tree and a graph. a.

A: Note: we have to answer only one question as per policy. Please submit other questions again. 1)…

Q: 16. Which of the following statements is/are true? 1. The order of directed graph G is always half…

A: A. I is only true

Q: a. Draw a graph with 5 vertices and 5 edges. Can such a graph be a tree? Carefully explain your…

A: The following solutions are

Q: 5. List/draw all the nonisomorphic connected graphs on 6 vertices. [Hint: Start with all the trees…

A: Answer: we have given nonisomorphic connected graph on 6 vertices and we have to find draw the all…

Q: Draw a graph, then produce a free and a rooted tree from that graph.

A: The answer is in step 2.....

Q: 9. The number of edges in a minimum spanning tree for a graph with V vertices and E edges is a) V-1.…

A: Given :

Q: The best choice for representing a set of tasks to be done, some of which depend on other tasks…

A: A Tree cannot be used in such cases as tree in node is connected to its parent and child only and…

Q: in the C language create the smallest original degree last method for ordering of vertices in a…

A: Program: #include <stdio.h> int main(){ int i,j,k,n,a[10][10],indeg[10],flag[10],count=0;…

Q: What is vertex coloring of a graph? A. A condition where any two vertices having a common edge…

A: Please find the answer below

Q: v. Look at the following graph: G V₂ V6 V3 What color would you use for v5 so that it is a…

A: The question is related to graph theory.