Answer the following questions about the rooted tree shown below.  For questions in which you need to list more than one vertex, list the vertices in alphabetical order and separate them with a comma (no spaces).  1. What are the ancestor(s) of Q? 2. List the leaves of the graph.  3. How many internal vertices does graph have?

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: 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: Given the following adjacency lists of a graph, in what order will the vertices be visited in a…

A: Given, adj(a) = [ ], adj(b) = [d], adj(c) = [ b, e ], adj(d) = [ c ], adj(e) = [ s ], adj(s) = [ a,…

Q: For a graph where all nodes are connected with other nodes (directly), assume there are "m" total…

A: The correct answer is the fifth option that is n = m(m-1)/2. Given, Total number of nodes = m Total…

Q: Graph traversal on a graph always outputs a tree

A: 3. True

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: 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: To represent adjacence lists on a graph, linked lists are used in a certain way. Give an example to…

A: Introduction: Linked lists were first used to visualize adjacency lists in a graph. In a graph,…

Q: Start at node number 3. Find BFS(Breadth First Search) and DFS(Depth First Search) traversals using…

A: Programming Language used: C++ BFS(Breadth First Search) traversal using queue(Start at node number…

Q: Originating at vertex C, how many tree subgraphs and spanning trees are present in this graph?

A: Spanning tree: If a graph is a complete graph with n vertices, then total number of spanning trees…

Q: 1. Perform a Depth First Search (DFS) on the directed graph below. 2. Start the DFS from node 1. 3.…

A: Overview: The problem given above falls under the subject Graph Algorithms or Graph Theory…

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: Alice and Bob are playing a game. They have a tree comprising of n vertices. At first, Bob has k…

A: Here have to determine about the Game On Tree  programming problem statement.

Q: Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex 0 to vertex…

A:

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: The graph below is traversed using depth first search. The search starts at vertex A and vertices…

A: A graph traversal technique called Depth-First Search examines a graph by starting at a central…

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: 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: java binary tree:

A: Lets see the solution.

Q: Same graph: 1 2 3 4 5 6 Suppose we traverse the graph starting at vertex 1 using a breadth-first…

A: In BFS, you can enqueue the adjacent vertices in any random order until mentioned in the question.…

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

A:

Q: For the graph in Figure 1 below, construct a spanning tree using the breadth-first algorithm. Show…

A: Here we have given a spanning tree using breadth first strategy. You can find the solution in step…

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: Note: list the edges in the order included into the minimum spanning tree and the toal weight.

A: In this question, we have to find out MST for given graph and it's weight

Q: Consider the graph given below. List the first 5 vertices, in order, visited by a depth-first search…

A:

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…

Q: Find back-edges for the following graphs starting from smallest nodes, and then find articulation…

A: import random   class Graph:     # instance variables     def __init__(self, v):         self.time =…

Q: An undirected graph is a tree if and only if there is a multiple simple path between any two of its…

A: The answer is given below:

Q: ook for cycles in a graph using the union find data structure? e using uf.connect() on two adjacent…

A: To look for the cycles in a graph using the union find data structure :   C) you run uf.connect() on…

Q: How are linked lists used to represent adjacency lists in a graph? Give an example. No coding…

A: Coding: Coding, often known as computer programming, is how computers are communicated with. Writing…

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: One can model a maze by having a vertex for a starting point, a finishing point, dead ends, and all…

A: According to the information given:- We have to construct a graph of the mentioned maze and find out…

Q: Use Dijkstra's algorithm to construct a shortest path tree starting from vertex____ that includes…

A: Dijkstra's algorithm is an algorithm used to find the shortest path between two nodes in a weighted…