-
Notifications
You must be signed in to change notification settings - Fork 2
Expand file tree
/
Copy pathMatrixGraph.java
More file actions
248 lines (158 loc) · 6.74 KB
/
MatrixGraph.java
File metadata and controls
248 lines (158 loc) · 6.74 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
public class MatrixGraph {
private boolean[][] edges; // edges[i][j] is true if there is a vertex from i to j
private char[] labels; // labels[i] contains the label for vertex i
public MatrixGraph(int n) {
edges = new boolean[n][n]; // All values initially false
labels = new char[n]; // All values initially null
}
public boolean isEdge(int source, int target) {
return edges[source][target];
}
public void addEdge(int source, int target) {
edges[source][target] = true;
}
public char getLabel(int vertex) {
return labels[vertex];
}
public int[] neighbors(int vertex) {
//int i;
int count = 0;
int[] answer;
for (int i = 0; i < labels.length; i++) {
if (edges[vertex][i]) {
count++;
}
}
answer = new int[count];
count = 0;
for (int i = 0; i < labels.length; i++) {
if (edges[vertex][i]) {
answer[count++] = i;
}
}
return answer;
}
// Remove an edge
public void removeEdge(int source, int target) {
edges[source][target] = false;
}
// Change the label of a vertex of this graph
public void setLabel(int vertex, char newLabel) {
labels[vertex] = newLabel;
}
// Accessor method to determine the number of vertices in this graph
public int getSize() {
return labels.length;
}
public void printGraph() {
for (int k = 0; k < labels.length; k++) {
System.out.print(labels[k] + " ");
}
System.out.println();
for (int i = 0; i < edges.length; i++) {
for (int j = 0; j < edges[0].length; j++) {
if (edges[i][j] == false) {
System.out.print(edges[i][j] + " ");
} else {
System.out.print(edges[i][j] + " ");
}
}
System.out.println();
}
}
/**
* Performs breath first traversal on this graph using a queue.
* @param origin The vertex from which to start the traversal.
* @return A LinkedQueue containing the traversal order.
*/
public LinkedQueue getBreadthFirstTraversal(int origin) {
LinkedQueue traversalOrder = new LinkedQueue(); // queue for traversal order
LinkedQueue vertexQueue = new LinkedQueue(); // queue for vertex queue order
int visitedCounter = 0;
int[] visited = new int[labels.length];
traversalOrder.enqueue(origin); // adding vertex to queues
vertexQueue.enqueue(origin);
while (!vertexQueue.isEmpty()) {
int frontVertex = vertexQueue.dequeue(); // removal or vertex in vertex queue
int[] neighbors = neighbors(frontVertex);
int neighborIndex = 0;
while (neighborIndex != neighbors.length) {
int nextNeighbor = neighbors[neighborIndex];
if (isVisited(visited,nextNeighbor) == false) { // if neighbors is not "visited"
visit(visited, nextNeighbor, visitedCounter); // then mark as "visited"
visitedCounter++;
traversalOrder.enqueue(nextNeighbor); // add next neightbors to queues
vertexQueue.enqueue(nextNeighbor);
}
neighborIndex++;
}
}
return traversalOrder;
}
/**
* Performs depth first traversal on this graph using a stack.
* @param origin The vertex from which to start the traversal.
* @return A LinkedQueue containing the traversal order.
*/
public LinkedQueue getDepthFirstTraversal(int origin) {
LinkedQueue traversalOrder = new LinkedQueue(); // Create queue to track traversal
LinkedStack vertexStack = new LinkedStack(); // Create stack to track vertex travel
int visitedCounter = 0; // Keeps track of how many visited veteces there are
int[] visited = new int[labels.length]; // Array that contains visited verteces
traversalOrder.enqueue(origin);
vertexStack.push(origin);
while (!vertexStack.isEmpty()) {
int topVertex = vertexStack.peek();
int[] neighbors = neighbors(topVertex); // Gets the neighbors of topVertex
if (hasAnUnvisited(visited, neighbors)) { // Proceed if atleast one neighbor is unvisited
// get the nextNeighbor which is unvisited
int nextNeighbor = neighbors[getUnvisited(visited, neighbors)];
visit(visited, nextNeighbor, visitedCounter); // Mark nextNeighbor as visited
visitedCounter++; // Increment number of visited
traversalOrder.enqueue(nextNeighbor);
vertexStack.push(nextNeighbor);
} else {
vertexStack.pop();
}
}
return traversalOrder;
}
// Adds a vertex to the visitedArray at a given index
private void visit(int[] visitedArray, int vertex , int index) {
visitedArray[index] = vertex;
}
// Checks if the given vertex is contained within visited
private boolean isVisited(int[] visited, int vertex) {
boolean result = false;
for (int i = 0; i < visited.length; i++) {
if (visited[i] == vertex) {
result = true;
break;
}
}
return result;
}
// Checks if at least one neighbor is not in visited
private boolean hasAnUnvisited(int[] visited, int[] neighbor) {
boolean unvisitedExists = false;
for (int i = 0; i < neighbor.length; i++) {
int neighborChosen = neighbor[i];
if (!isVisited(visited, neighborChosen)) {
unvisitedExists = true;
}
}
return unvisitedExists;
}
// gets the first neighbor that is unvisited
private int getUnvisited(int[] visited, int[] neighbor) {
int result = 0;
for (int i = 0; i < neighbor.length; i++) {
int neighborChosen = neighbor[i];
if (!isVisited(visited, neighborChosen)) {
result = i;
break;
}
}
return result;
}
}