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Detecting Cycles in Network Topology
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Detecting Cycles in Network Topology

HardPython

Problem

Write an algorithm to detect cycles in a network topology graph.

Implement detect_cycle(graph, directed), where graph is an adjacency-list dictionary and directed selects directed or undirected cycle rules. Return True if any cycle exists, otherwise return False. The graph may contain disconnected components, self-loops, and nodes with no outgoing edges.

Constraints

  • graph is a dictionary mapping string node identifiers to adjacency lists of strings
  • 0 <= number of graph keys <= 1000
  • The graph can contain disconnected components
  • For undirected graphs, each edge is represented in both endpoint adjacency lists
  • Self-loops are valid graph edges
  • directed is a boolean

Function Signature

def detect_cycle(graph, directed):
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