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Data Structure MCQ – Propositional and Directed Acyclic Word Graph
In which of the following does a Directed Acyclic Word Graph finds its application in?
a) String Matching
b) Number Sorting
c) Manipulations on numbers
d) Pattern Printing
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Answer: a
Explanation: A Directed Acyclic Word Graph is similar to suffix tree, it can be viewed as a Deterministic Finite Automata.
What is time complexity to check if a string(length S1) is a substring of another string(length S2) stored in a Directed Acyclic Word Graph, given S2 is greater than S1?
a) O(S1)
b) O(S2)
c) O(S1+S2)
d) O(1)
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Answer: a
Explanation: For each check of a word of length S1, we need to follow at most S1 edges.
In which of the following case does a Propositional Directed Acyclic Graph is used for?
a) Representation of Boolean Functions
b) String Matching
c) Searching
d) Sorting of number
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Answer: a
Explanation: A Propositional Directed Acyclic Graph is used to represent a boolean function.
Consider the following symbols and choose which of the symbols represent nodes having atleast one child?
i) Δ ii) ◊ iii) ∇ iv) T v) ⊥
a) iv) and v)
b) iii) iv) and v)
c) i) and ii)
d) i) and iii)
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Answer: c
Explanation: The symbols Δ and ◊ represents logical AND and OR gates.
Which of the following symbols represent nodes having exactly one child?
i) Δ ii) ◊ iii) ∇ iv) T v) ⊥
a) iv) and v)
b) v)
c) i) and iii)
d) iii)
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Answer: d
Explanation: ∇ symbol represents the logical NOT gate.
Which of the following symbols represent leaf nodes?
i) Δ ii) ◊ iii) ∇ iv) T v) ⊥
a) iv) and v)
b) v)
c) i) and iii)
d) ii)
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Answer: a
Explanation: The two symbols T, ⊥ represent the Boolean values.
Every Binary Decision Diagram is also a Propositional Directed Acyclic Graph.
a) True
b) False
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Answer: a
Explanation: Both Binary Decision Diagram and Propositional Directed Acyclic Graph may be used to represent the same Boolean function.
In a Propositional Directed Acyclic Graph Leaves maybe labelled with a boolean variable.
a) True
b) False
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Answer: a
Explanation: In a Propositional Directed Acyclic Graph leaves maybe labelled with a boolean variable, T or ⊥.