The candidate's solution is correct and demonstrates a good understanding of depth first search. However, the code could be more concise. For example, the has_cycle function could be written as follows:
def has_cycle(g):
visited = set()
for node in g:
if node not in visited:
if dfs(node, visited, None):
return 1
return 0
def dfs(node, visited, parent):
visited.add(node)
for neighbor in node:
if neighbor not in visited:
if dfs(neighbor, visited, node):
return True
elif neighbor != parent:
return True
return False