Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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5. Construct a function C(V) that counts the number of basic operations for the following algorithm . Then place the algorithm in a time efficiency class. State any assumptions you make.
public static ArrayList topologicalSort(Graph dag) { Queue q = new LinkedList();
ArrayList sortOrder = new ArrayList();
int[] inEdgeCounts = new int[dag.size()];
for(int i = 0; i < inEdgeCounts.length; i++) { inEdgeCounts[i] = 0;
}
for(int i = 0; i < inEdgeCounts.length; i++) { dag.getAdjList(i).stream().forEach((x) -> inEdgeCounts[x]++);
}
// Identify sources
for(int i = 0; i < inEdgeCounts.length; i++) { if(inEdgeCounts[i] == 0) {
q.add(i);
}
}
while(!q.isEmpty()) { int currVertex = q.remove();
sortOrder.add(currVertex);
ArrayList adjList = dag.getAdjList(currVertex);
// Remove edges for this node for(Integer adjVertex: adjList) {
inEdgeCounts[adjVertex]--;
if(inEdgeCounts[adjVertex] == 0) {
q.add(adjVertex);
}
}
}
return sortOrder;
}
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