Topologically Sorting DAGS def naive topsort(G,S=None): if S is None: S=set(G) # Default: All nodes if len(S)==1: return list(S)# Base case, single node # Reduction: Remove a node # Recursion (assumption), n=1 v=S.pop () seq=naive topsort (G,S) min i=0 for i,u in enumerate(seq): if v in G[u]: min i=i+1 seq.insert (min i,v) # After all dependencies return seq Using adjacency sets or dicts to represent a DAG.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Please show all work so i can better understand

Topologically Sorting DAGS
def naive topsort(G,S=None):
if S is None: S=set(G)
if len(S)==1: return list(S) # Base case, single node
v=S.pop()
seq=naive topsort (G,S)
min i=0
for i,u in enumerate (seq):
if v in G[u]: min i=i+1
seq.insert (min i,v)
# Default: All nodes
# Reduction: Remove a node
# Recursion (assumption), n=1
# After all dependencies
return seq
Using adjacency sets or dicts to represent a DAG.
What's the expected runtime?
Transcribed Image Text:Topologically Sorting DAGS def naive topsort(G,S=None): if S is None: S=set(G) if len(S)==1: return list(S) # Base case, single node v=S.pop() seq=naive topsort (G,S) min i=0 for i,u in enumerate (seq): if v in G[u]: min i=i+1 seq.insert (min i,v) # Default: All nodes # Reduction: Remove a node # Recursion (assumption), n=1 # After all dependencies return seq Using adjacency sets or dicts to represent a DAG. What's the expected runtime?
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