Luby’s Algorithm: 1. Input: G = (V, E) 2. Output: MIS I of G 3. I ← ∅ 4. V ← V 5. while V = ∅ 6. assign a random number r(v) to each vertex v ∈ V 7. for all v ∈ V in parallel 8. if r(v) is minimum amongst all neighbors 9. I ← I ∪ {v} 10. V ← V \ {v ∪ N(v)} Make Implementation of this algorithm in sequential form in Python

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
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Luby’s Algorithm:

1. Input: G = (V, E)
2. Output: MIS I of G
3. I ← ∅
4. V ← V
5. while V = ∅
6. assign a random number r(v) to each vertex v ∈ V
7. for all v ∈ V in parallel
8. if r(v) is minimum amongst all neighbors
9. I ← I ∪ {v}
10. V ← V \ {v ∪ N(v)}

Make Implementation of this algorithm in sequential form in Python

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