**Question**: For a simple connected graph \( G=(V,E) \) with no multi-edges and no self-loops, what is the range of possible values of \( |E| \)?- **a.** \( 0 \leq |E| \leq \infty \)- **b.** The range is not limited- **c.** \( 0 \leq |E| \leq |V|^2 \)- **d.** \( |V| - 1 \leq |E| \leq \frac{|V|(|V| - 1)}{2} \)- **e.** \( |V| \leq |E| \leq |V|^2 \)**Explanation**: This problem addresses the possible range of edge counts \( |E| \) in a simple, connected graph. In such a graph, conditions like no multi-edges and no self-loops are imposed. Option (d) provides a range starting at \( |V| - 1 \), which is the minimum number of edges for the graph to remain connected (a tree), up to the maximum number of edges \(\frac{|V|(|V| - 1)}{2}\), forming a complete graph \( K_{|V|} \).

Answer: We have discussed each and every point related to Edge in the graph so we will see in the…

For a simple connected graph G=(V,E) with no multi-edges and no self-loops, what is the range of possible values of |E|? O a. 0≤IEI ≤ 00 O b. The range is not limited OC.0 ≤IEI ≤IV1² O d. IVI-1≤IEI ≤ IVI (IVI-1) 2 Oe. IVI ≤ IEI ≤ N²

For a simple connected graph G=(V,E) with no multi-edges and no self-loops, what is the range of possible values of |E|? O a. 0≤IEI ≤ 00 O b. The range is not limited OC.0 ≤IEI ≤IV1² O d. IVI-1≤IEI ≤ IVI (IVI-1) 2 Oe. IVI ≤ IEI ≤ N²

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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