24 Questions
What is the complexity of finding weakly connected components in a digraph?
Θ(n + e)
How can a strongly connected component in a digraph be found?
By repeatedly traversing the original graph and its reverse
What is the purpose of computing the reverse graph of a digraph?
To represent the inverse relation of the original graph
How is a connected component defined in an undirected graph?
It is the largest possible subgraph of mutually reachable nodes
Which traversal technique can be used to find weakly connected components in a digraph?
Depth-first search
What does a strongly connected component represent in a digraph?
A subgraph where all nodes are reachable from each other
Which topic is covered in section 30.19.2?
Knapsack
What is covered under the 'Complexity classes' section in the text?
Tractable and intractable problems
In which section of the text can you find information about 'State graphs'?
30.17.4
What does the topic 'Up and down' relate to in the text?
Beams
What is the focus of the 'Backtracking' section in the text?
Back to the TSP
Which section among 30.16.x talks about 'Jousting'?
30.16.1
Which sorting algorithm has the best average-case time complexity?
Merge sort
In a binary search tree, what is the time complexity of finding a specific element?
$O( ext{log } n)$
Which data structure is commonly used for implementing priority queues?
Heaps
What is the main advantage of adjacency list representation over adjacency matrix representation for graphs?
Less memory usage for sparse graphs
Which graph traversal technique guarantees the shortest path between two nodes in a weighted graph?
Dijkstra's algorithm
What is the main purpose of state graphs in computer science?
To represent all possible states of a problem
What topic is covered in the text related to Python language constructs?
Ordered and unordered collections
Which of the following is NOT discussed as a part of rooted trees in the text?
Graph modeling
In Python, which technique is not used for sorting as mentioned in the text?
Bubble sort
Which specific practice exercise is included in the text to reinforce learning?
Dot product
What is the main focus of TMA 02 part 2 as mentioned in the text?
Applying graphs and greedy algorithms
Which of the following is not a sorting technique explained with recursive and iterative versions in the text?
Radix sort
Explore practical problems on graphs such as computing the components of a graph, creating compatible schedules, and identifying cycles in a directed graph. Learn about the importance of suitable graph representations in problem-solving. This quiz covers concepts and algorithms related to graph theory.
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