Consider the above rooted tree. 1. Which vertex is the root? 2. Which vertices are internal? 3. Which vertices are leaves? 4. Which vertices are children of j? 5. Which vertex is the parent of h? 6. Which vertices are siblings of o? 7. Which vertices are ancestors of m? 8. Which vertices are descendants of b?

Q: For the following graph, find the vertices adjacent to vertex 2: 1 2 3 A) 1 в) оз c) 0 1 3 (D) о 12…

A: A graph is a set of vertices and edges and it is represented as G = (V, E) where G is a graph, V is…

Q: Refer to the following graph. What vertex is "closest" to vertex 2 (closest implies the smallest…

A: A graph is a mathematical structure that consists of a set of vertices (also known as nodes) and a…

Q: Consider the graph G depicted in the figure below. Run the BFS algorithm with root vertex 4. Answer…

A: In this question we have to run the BFS algorithm on the graph G depicted in the figure below, with…

Q: I am struggling to draw a spanning tree using a depth-first when the following graph has a vertex A…

A: To get spanning tree using DFS follow the following steps :1. Start at a chosen vertex (let's say we…

Q: What is the degree of vertex F? Starting from vertex A, write or draw the path of visited vertices…

A: Given Graph:   Degree of vertex: For any graph degree of vertex means the number of edges connected…

Q: Draw an adjacency list and matrix.  b. Perform a depth first search using Vertex C as your source…

A: For the above graph adjacency list , adjacency matrix and DFS are in step 2.

Q: Write a program to find the out-degree of a single vertex whose graph is stored in an adjacency…

A: Program in c++: #include <iostream> using namespace std; struct graph {     int v;     int…

Q: 1. Answer with True or False and explain why. a.) All graphs can have only one possible minimum…

A: Prim’s algorithm is also a Greedy algorithm.

Q: An edge is called a bridge if the removal of the edge increases the number of connected components…

A: An edge is called a bridge if the removal of the edge increases the number of connected components…

Q: Shown below is a graph with vertex set [6]. How many proper colorings does it have if 10 colors are…

A: In the diagram there are 3 sets shown as follows-  In the first set there are 3 vertices…

Q: can stroll to any vertex associated by an edge with your present vertex. On each edge, there are…

A: Here have to determine about number of shows problem statement.

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: G be a connected graph with n vertices and m edges

A: Given :- In the above question, a connected graph G with n vertices and m edges is mention in the…

Q: For the next set of questions, consider the directed graph, G2, shown below. Assume that the…

A: The solution is given in the next step

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…

Q: raph coloring Add a node N5 that is connected to all the other nodes.   Add a third color Green.…

A: Lets see the solution.

Q: You are given a coordinated diagram of n vertices and m edges. Vertices are numbered from 1 to n.…

A: Here have to determine about the Graph Transpositions  programming problem statement.

Q: Apply Dijkstra's Algorithm using all the Data Structures 2, V, Parent and recreate the paths from…

A: Dijkstra's algorithm is one of the most famous algorithms for tackling many single-source shortest…

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: Mark the following statements true or false: 1. In a rooted tree the vertices are ordered.  2.…

A: Defined the given statement true or false

Q: Monocarp was captivated by BFS such a lot of that, eventually, he lost his tree. Luckily, he…

A: Here have to determine about the Minimal Height Tree  programming problem statement.

Q: |Given the following graph, calculate the shortest path from vertex zero to all other vertices using…

A: Dijkastra algorithm : In this algorithm,we have to find shortest path to all other vertex.   Steps:…

Q: Show that a tree with n vertices has n-1 edges

A: In this question we have to prove a tree with n vertices has n-1 edges. A tree is an undirected…

Q: aph simple? What is the sum of all the degrees of the graph? What are t prs of vertex d?

A: Graph is simple Sun of all the degrees of the graph is 10 Degree of the graph d  a,e,f   Degree of a…

Q: Design and implement an algorithm in Python that finds the minimal vertex coloring of a given graph…

A: Dear Student, The required code along with algorithm is given below -

Q: There is another fascination in Singapore Zoo: The Infinite Zoo.    The Infinite Zoo can be…

A: Here have to determine about the fascination in Singapore Zoo Programming problem statement.

Q: In this graph, which are the vertices? abcdefghij + x Which are the edges? UVWXYZ + X Which vertices…

A: Vertices are also called as nodes of graphs which are resembled in Circles So, in this graph…

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: 1. Find the path from node D to node B using (a) Best First Search, and (b) A* Algorithm. 59 45 H)…

A: Answer to the above question is in step2.

Q: 110 E 108 21 56 18 46 208 J 29 A 78 16 G 56 96 20 112 40 20 H 62 90 F

A: Using Dijkstra's algorithm on the given diagram to find minimum time and route from A to J

Q: So, if the question is asking for at least 2 vertices that have a degree of more than 2, two of the…

A: In common, In a finite graph,  the n vertices of the graph can only have n-1 different degrees,  so…

Q: Instructions Show A graph is represented in adjacency list shown below. Starting at vertex 2, the…

A: Question:

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: Prove the following statement about graph theory:  If a new edge (but no new vertex) is added to a…

A: Let's first prove that a tree with n vertices has (n-1) edges: Tree is a connected graph with no…

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: Write a C# method to determine if a vertex has no successors and a method for removing a vertex from…

A: Let's first examine the procedure for identifying no successors.

Q: For the given graph below, use the Breadth First Search (BSF) algorithm to visit the vertices and…

A: Answer is given below

Q: In what order would the vertices of this graph be visited by a DEPTH-first search traversal starting…

A:

Q: What vertex will be picked up to execute the 1st iteration of the Shortest Path Algorithm in order…

A: Shortest Path Algorithm: Shortest path algorithm is a family of algorithms designed to solve the…

Q: Let G be a forest with k trees, n vertices, f faces and m edges. What is the value of m? (i) n +f -…

A: Forest :- Group of trees If in a graph there are 3 trees  that means k =3 total 6 nodes means n=6 if…

Q: How many entries would the adjacency list representation for the following graph contain? (Assume…

A: Generally, an Adjacency List is used for representing graphs. For every vertex in the graph, we have…

Q: Let G be a connected graph with n vertices and m edg Which of the following statements are true? (i)…

A: Explanation: If n=3, the number of edges is equal to two.As a consequence, for n=1, 2, and 3, the…

Q: In the following graph which edges form the Minimum Spanning Tree? (Use Prim's Algorithm,start from…

A: Note: Step by step explanation given below. Prim's algorithm steps: Initialize the minimum spanning…