Homework Answers
The BFS Tree is as follows
The DFS Tree is as follows
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4. A directed graph is given below. Answer the following questions. When there are multiple vertices...
BFS Given an undirected graph below (a) Show the shortest distance to each vertex from source ver...
Solve (a) and (b) using BFS and DFS diagram
BFS Given an undirected graph below (a) Show the shortest distance to each vertex from source vertex H and predecessor tree on the graph that result from running breadth-finst search (BFS).Choose adjacen vertices in al phabetical order b) Show the start and finsh time for each vertex, starting from source vertex H, that result from running depth-first search (DFS)Choose aljacent vertices in alphabet- ical order DFS
BFS Given an undirected graph...
BFS Given an undirected graph below (a) Show the shortest distance to each vertex from source ver...
BFS Given an undirected graph below (a) Show the shortest distance to each vertex from source vertex H and predecessor tree on the graph that result from running breadth-finst search (BFS).Choose adjacen vertices in al phabetical order b) Show the start and finsh time for each vertex, starting from source vertex H, that result from running depth-first search (DFS)Choose aljacent vertices in alphabet- ical order DFS
BFS Given an undirected graph below (a) Show the shortest distance to each vertex...
Consider the following directed graph for each of the problems: 1. Perform a breadth-first search on...
Consider the following directed graph for each of the
problems:
1. Perform a breadth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Show the breadth-first search
tree that is generated.
2. Perform a depth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Classify each edge as tree, back
or cross edge. Label each
vertex with its start and finish time.
3. Remove all the...
1. Consider the directed graph on the right side of the following page and complete the...
1. Consider the directed graph on the right side of the following page and complete the exercises below. When conducting a search, be very careful (since a small error early on can result in a large deduction of marks), and whenever you have a "choice" of which adjacent vertex to consider, you must consider the vertices in numerical order from least to greatest. (10 marks total) a. Provide an adjacency list representation of this graph. b. Compute the depth-first search...
help with alogrthms Consider the following graph for problems 6, 7, & 8. (b f C...
help with alogrthms
Consider the following graph for problems 6, 7, & 8. (b f C d a (5 points) Starting at vertex a and resolving ties by the vertex alphabetical order, traverse the graph by depth-first search 7. and construct the corresponding depth-first search tree (5 points) Traverse the graph by breadth-first search and construct the corresponding breadth-first search tree. Start the 8. traversal at vertex a and resolve ties by the vertex alphabetical order.
Consider the following graph...
#include <iostream> #include <queue> using namespace std; class Graph { public: Graph(int n); ~Graph(); void addEdge(int...
#include <iostream>
#include <queue>
using namespace std;
class Graph {
public:
Graph(int n);
~Graph();
void addEdge(int src, int tar);
void BFTraversal();
void DFTraversal();
void printVertices();
void printEdges();
private:
int vertexCount;
int edgeCount;
bool** adjMat;
void BFS(int n, bool marked[]);
void DFS(int n, bool marked[]);
};
Graph::Graph(int n=0) {
vertexCount = n;
edgeCount = 0;
if(n == 0)
adjMat = 0;
else {
adjMat = new bool* [n];
for(int i=0; i < n; i++)
adjMat[i] = new bool [n];
for(int i=0;...
Question II - Graph Traversal and Minimum Spanning Trees [40 Points] Consider the following graph: B...
Question II - Graph Traversal and Minimum Spanning Trees [40 Points] Consider the following graph: B 10 1 4 1 H 9 4 a) Traverse the graph starting from vertex A, and using the Breadth-First Search algorithm. Show the traversal result and the data structure you are using. [10 Points] b) Traverse the graph starting from vertex A, and using the Depth-First Search (Post-order) algorithm. Show the traversal result and the data structure you are using. [10 Points] c) Apply...
Find the list of vertices following the breadth-first traversal of the graph below starting from vertex A.
Find the list of vertices following the breadth-first traversal of the graph below starting from vertex A. (Note: when two or more nodes are equally as likely to be selected, select the one that comes first alphabetically). Enter your answer as a list of nodes with no space (or any other separator) between them.
7.[6] Consider the graph G below: a.[3] Find a Depth-First Search tree T for the above...
7.[6] Consider the graph G below: a.[3] Find a Depth-First Search tree T for the above graph starting with the vertex 0. Show all the vertices as they are discovered in sequence starting from 1 to the last vertex included in T. b.[3] Find a Breadth-First Search tree T for the above graph starting with the vertex 0. Show all the vertices as they are discovered in sequence starting from 1 to the last vertex included in T.
Question 3 (4 marks) For the directed graph below, list the order in which the nine...
Question 3 (4 marks) For the directed graph below, list the order in which the nine nodes are visited during a depth-first (DFS) traversal, as well as the order in which they are visited during a breadth first (BFS) traversal. As always, assume that any ties are resolved by taking nodes in alphabetical order. Write the answers in the boxes given g DFS sequence BFS sequence
Solve (a) and (b) using BFS and DFS diagram
BFS Given an undirected graph below (a) Show the shortest distance to each vertex from source vertex H and predecessor tree on the graph that result from running breadth-finst search (BFS).Choose adjacen vertices in al phabetical order b) Show the start and finsh time for each vertex, starting from source vertex H, that result from running depth-first search (DFS)Choose aljacent vertices in alphabet- ical order DFS
BFS Given an undirected graph...
BFS Given an undirected graph below (a) Show the shortest distance to each vertex from source vertex H and predecessor tree on the graph that result from running breadth-finst search (BFS).Choose adjacen vertices in al phabetical order b) Show the start and finsh time for each vertex, starting from source vertex H, that result from running depth-first search (DFS)Choose aljacent vertices in alphabet- ical order DFS
BFS Given an undirected graph below (a) Show the shortest distance to each vertex...
Consider the following directed graph for each of the
problems:
1. Perform a breadth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Show the breadth-first search
tree that is generated.
2. Perform a depth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Classify each edge as tree, back
or cross edge. Label each
vertex with its start and finish time.
3. Remove all the...
1. Consider the directed graph on the right side of the following page and complete the exercises below. When conducting a search, be very careful (since a small error early on can result in a large deduction of marks), and whenever you have a "choice" of which adjacent vertex to consider, you must consider the vertices in numerical order from least to greatest. (10 marks total) a. Provide an adjacency list representation of this graph. b. Compute the depth-first search...
help with alogrthms
Consider the following graph for problems 6, 7, & 8. (b f C d a (5 points) Starting at vertex a and resolving ties by the vertex alphabetical order, traverse the graph by depth-first search 7. and construct the corresponding depth-first search tree (5 points) Traverse the graph by breadth-first search and construct the corresponding breadth-first search tree. Start the 8. traversal at vertex a and resolve ties by the vertex alphabetical order.
Consider the following graph...
#include <iostream>
#include <queue>
using namespace std;
class Graph {
public:
Graph(int n);
~Graph();
void addEdge(int src, int tar);
void BFTraversal();
void DFTraversal();
void printVertices();
void printEdges();
private:
int vertexCount;
int edgeCount;
bool** adjMat;
void BFS(int n, bool marked[]);
void DFS(int n, bool marked[]);
};
Graph::Graph(int n=0) {
vertexCount = n;
edgeCount = 0;
if(n == 0)
adjMat = 0;
else {
adjMat = new bool* [n];
for(int i=0; i < n; i++)
adjMat[i] = new bool [n];
for(int i=0;...
Question II - Graph Traversal and Minimum Spanning Trees [40 Points] Consider the following graph: B 10 1 4 1 H 9 4 a) Traverse the graph starting from vertex A, and using the Breadth-First Search algorithm. Show the traversal result and the data structure you are using. [10 Points] b) Traverse the graph starting from vertex A, and using the Depth-First Search (Post-order) algorithm. Show the traversal result and the data structure you are using. [10 Points] c) Apply...
7.[6] Consider the graph G below: a.[3] Find a Depth-First Search tree T for the above graph starting with the vertex 0. Show all the vertices as they are discovered in sequence starting from 1 to the last vertex included in T. b.[3] Find a Breadth-First Search tree T for the above graph starting with the vertex 0. Show all the vertices as they are discovered in sequence starting from 1 to the last vertex included in T.
Question 3 (4 marks) For the directed graph below, list the order in which the nine nodes are visited during a depth-first (DFS) traversal, as well as the order in which they are visited during a breadth first (BFS) traversal. As always, assume that any ties are resolved by taking nodes in alphabetical order. Write the answers in the boxes given g DFS sequence BFS sequence
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