Strongly connected components in Data Structures Theory - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the sentence to define a strongly connected component.

Data Structures Theory

A strongly connected component is a subgraph where every vertex is reachable from [1] other vertices.

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Asome

Bevery

Cno

Dexactly one

Attempts:

3 left

💡 Hint

Common Mistakes

Thinking only one vertex needs to be reachable.

Confusing 'some' with 'every'.

In a strongly connected component, every vertex can reach every other vertex.

2fill in blank

medium

Complete the sentence about the graph type where strongly connected components are defined.

Data Structures Theory

Strongly connected components are defined only in [1] graphs.

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Aweighted

Bundirected

Cdirected

Dacyclic

Attempts:

3 left

💡 Hint

Common Mistakes

Choosing undirected graphs because connectivity is simpler there.

Confusing weighted graphs with directed graphs.

Strong connectivity requires direction in edges, so it applies to directed graphs.

3fill in blank

hard

Fix the error in the statement about strongly connected components.

Data Structures Theory

A strongly connected component is a subgraph where there is a path from every vertex to [1] other vertex.

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Asome

Bno

Cat least one

Devery

Attempts:

3 left

💡 Hint

Common Mistakes

Thinking 'at least one' vertex is enough.

Misunderstanding the meaning of 'strongly connected'.

The correct definition requires a path from every vertex to every other vertex, not just one.

4fill in blank

hard

Fill both blanks to complete the sentence about algorithms for strongly connected components.

Data Structures Theory

Kosaraju's algorithm uses two [1] traversals and a [2] of the graph.

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Adepth-first search

Bbreadth-first search

Creversal

Dsorting

Attempts:

3 left

💡 Hint

Common Mistakes

Confusing breadth-first search with depth-first search.

Thinking the graph is sorted instead of reversed.

Kosaraju's algorithm performs two depth-first searches and reverses the graph edges.

5fill in blank

hard

Fill all three blanks to complete the sentence about Tarjan's algorithm.

Data Structures Theory

Tarjan's algorithm uses a [1] to track nodes, assigns each node a [2], and updates a [3] value to find strongly connected components.

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Astack

Bdiscovery time

Clow-link

Dqueue

Attempts:

3 left

💡 Hint

Common Mistakes

Using a queue instead of a stack.

Confusing low-link with discovery time.

Tarjan's algorithm uses a stack, discovery times, and low-link values to identify strongly connected components efficiently.