2 Consider the following directed graphs on a set V of all integers from 0 to and including 99. G₁ = (V, E₁) where E₁ is the set of all pairs (a, b) V x V where a mod 5=b mod 5 G₂ (V, E₂) where E2 is the set of all pairs (a, b) VXV where (a - b) mod 5 = 1 G3 = (V.E3) where E3 is the set of all pairs (a, b) € V x V where a - b ≤0 G is a DAG on V. Fill in the number of connected strongly and weakly connected components for each of the graphs. There are no negative points for incorrect answers. If there is no single correct answer (since G₁ can be several different graphs) then fill in undefined. Otherwise fill in a number. G₁ has G₂ has G3 has G₁ has weakly connected components and strongly connected components. weakly connected components and strongly connected components. weakly connected components and strongly connected components. weakly connected components and strongly connected components
2 Consider the following directed graphs on a set V of all integers from 0 to and including 99. G₁ = (V, E₁) where E₁ is the set of all pairs (a, b) V x V where a mod 5=b mod 5 G₂ (V, E₂) where E2 is the set of all pairs (a, b) VXV where (a - b) mod 5 = 1 G3 = (V.E3) where E3 is the set of all pairs (a, b) € V x V where a - b ≤0 G is a DAG on V. Fill in the number of connected strongly and weakly connected components for each of the graphs. There are no negative points for incorrect answers. If there is no single correct answer (since G₁ can be several different graphs) then fill in undefined. Otherwise fill in a number. G₁ has G₂ has G3 has G₁ has weakly connected components and strongly connected components. weakly connected components and strongly connected components. weakly connected components and strongly connected components. weakly connected components and strongly connected components
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![2 Consider the following directed graphs on a set V of all integers from 0 to and including 99.
G₁ = (V, E₁)
where E is the set of all pairs (a, b) V x V where a mod 5=b mod 5
G₂ = (V, E₂)
where E2 is the set of all pairs (a, b) EV x V where (a - b) mod 5-1
3
G3 = (V, E3)
where E3 is the set of all pairs (a, b) EV XV where a-b≤0
G₁ has
Ċ
G₁ is a DAG on V.
Fill in the number of connected strongly and weakly connected components for each of the graphs. There are
no negative points for incorrect answers. If there is no single correct answer (since G₁ can be several different
graphs) then fill in undefined. Otherwise fill in a number.
G₂ has
G3 has
G₁ has
weakly connected components and
strongly connected components.
weakly connected components and
strongly connected components.
weakly connected components and
strongly connected components.
weakly connected components and
strongly connected components](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0143c836-8f2c-4043-b7b3-58e093f2fd4b%2Fb662c405-93e6-472a-a1b2-770fbf631334%2F2iv1ome_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2 Consider the following directed graphs on a set V of all integers from 0 to and including 99.
G₁ = (V, E₁)
where E is the set of all pairs (a, b) V x V where a mod 5=b mod 5
G₂ = (V, E₂)
where E2 is the set of all pairs (a, b) EV x V where (a - b) mod 5-1
3
G3 = (V, E3)
where E3 is the set of all pairs (a, b) EV XV where a-b≤0
G₁ has
Ċ
G₁ is a DAG on V.
Fill in the number of connected strongly and weakly connected components for each of the graphs. There are
no negative points for incorrect answers. If there is no single correct answer (since G₁ can be several different
graphs) then fill in undefined. Otherwise fill in a number.
G₂ has
G3 has
G₁ has
weakly connected components and
strongly connected components.
weakly connected components and
strongly connected components.
weakly connected components and
strongly connected components.
weakly connected components and
strongly connected components
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