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What is the main focus of the Roy-Floyd-Warshall algorithm?
What is the main focus of the Roy-Floyd-Warshall algorithm?
- Implementing adjacency functions for immediate predecessors
- Bypassing matrices and arrays in favor of a direct mathematical model (correct)
- Using matrices and arrays for efficient computation
- Iterating over elements to create a sparse relation
In the transitive closure algorithm, what does step 0 do?
In the transitive closure algorithm, what does step 0 do?
- Applies the adjacency functions
- Connects all paths over intermediate elements
- Starts with the full transitive closure
- Begins with the original relation (correct)
Who is the earliest known describer of the algorithm often named after Floyd and Warshall?
Who is the earliest known describer of the algorithm often named after Floyd and Warshall?
- Warshall
- Floyd
- Roy-Floyd
- B.Roy (correct)
How is the transitive closure algorithm implemented in functional programming languages?
How is the transitive closure algorithm implemented in functional programming languages?
What aspect makes the Roy-Floyd-Warshall algorithm particularly suitable for sparse relations?
What aspect makes the Roy-Floyd-Warshall algorithm particularly suitable for sparse relations?
In which alternative formulation does the Roy-Floyd-Warshall algorithm not use matrices and arrays?
In which alternative formulation does the Roy-Floyd-Warshall algorithm not use matrices and arrays?
What is the purpose of the theorem transitive-closure-correctness?
What is the purpose of the theorem transitive-closure-correctness?
What does the inductive definition in the alternative formulation represent?
What does the inductive definition in the alternative formulation represent?
Which statement is true about the relation between Steps and steps in the alternative formulation?
Which statement is true about the relation between Steps and steps in the alternative formulation?
What is the main focus of the core algorithm expressed in a declarative manner in the text?
What is the main focus of the core algorithm expressed in a declarative manner in the text?
What is the base case for the inductive-set Clos?
What is the base case for the inductive-set Clos?
In the proof of Clos-closure, what does the theorem state about the relation Clos rel n?
In the proof of Clos-closure, what does the theorem state about the relation Clos rel n?
What does the lemma Clos-Suc state about the relation Clos rel n?
What does the lemma Clos-Suc state about the relation Clos rel n?
What is the significance of the step case in the inductive-set Clos?
What is the significance of the step case in the inductive-set Clos?
How is the theorem Clos-closure related to the bounded closure concept?
How is the theorem Clos-closure related to the bounded closure concept?
What role does the lemma Clos-Suc play in relation to the growth of closures?
What role does the lemma Clos-Suc play in relation to the growth of closures?
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