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DSA · Theory

Add and Remove Vertex in Adjacency List Representation of Graph

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Theory

805/810

Add and Remove Vertex in Adjacency List Representation of Graph

Add and Remove Vertex in Adjacency List Representation of Graph sits in a city map. Kabir’s job is bus routes. Write that first.

Keep Add and Remove Vertex in Adjacency List Representation of Graph small. Kabir should finish bus routes in a few lines, not a 40-line dump.

Add and Remove Vertex in Adjacency List Representation of Graph exists so Kabir can keep bus routes correct in a city map.

Use Add and Remove Vertex in Adjacency List Representation of Graph when bus routes must stay clear. If a simpler DSA step works, use that instead.

If bus routes breaks under Add and Remove Vertex in Adjacency List Representation of Graph, check no visited set → infinite loop first.

Place Add and Remove Vertex in Adjacency List Representation of Graph next to nearby DSA work — BFS queue / DFS stack is the link.

Close Add and Remove Vertex in Adjacency List Representation of Graph with: “If I skip it, bus routes goes wrong like this: no visited set → infinite loop.”

Exam tip

Board: bus routes. Dry-run Add and Remove Vertex in Adjacency List Representation of Graph. Name the trap: no visited set → infinite loop.

Example

# adjacency list
graph = {
    "A": [("B", 2), ("C", 5)],
    "B": [("A", 2), ("C", 1)],
    "C": [("A", 5), ("B", 1)],
}
for u, edges in graph.items():
    print(u, "->", edges)

Add and Remove Vertex in Adjacency List Representation of Graph — graphs are often stored as adjacency lists: vertex → list of (neighbor, weight).

Short notes

  • DefAdd and Remove Vertex in Adjacency List Representation of Graph — Kabir uses it for bus routes in a city map.
  • RuleAdd and Remove Vertex in Adjacency List Representation of Graph → BFS queue / DFS stack.
  • RememberAdd and Remove Vertex in Adjacency List Representation of Graph + time vs memory (a city map).
  • UseAdd and Remove Vertex in Adjacency List Representation of Graph in a city map (bus routes).
  • TrapAdd and Remove Vertex in Adjacency List Representation of Graph — no visited set → infinite loop.
  • ExAdd and Remove Vertex in Adjacency List Representation of Graph → bus routes.

Questions

1

In one breath: what does Add and Remove Vertex in Adjacency List Representation of Graph do for Kabir?

2

Where does Add and Remove Vertex in Adjacency List Representation of Graph show up in a city map?

3

Which mistake makes bus routes fail?

4

Show Add and Remove Vertex in Adjacency List Representation of Graph in time vs memory terms — three lines max.

Previous← Add and Remove Edge in Adjacency List Representation of GraphNextAdd and Remove Vertex in Adjacency Matrix Representation of Graph →
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