**Graph Isomorphism Selection****Task:** Select the function \( f \) that is an isomorphism from graph \( G \) to graph \( G' \).**Graphs Description:**- **Graph \( G \):** - Consists of 5 vertices labeled \( a, b, c, d, \) and \( e \). - Edges are present between the following pairs: \( (a, b), (a, d), (b, c), (b, e), (c, d) \).- **Graph \( G' \):** - Consists of 5 vertices labeled \( 1, 2, 3, 4, \) and \( 5 \). - Edges are present between the following pairs: \( (3, 1), (3, 5), (1, 4), (1, 5), (5, 2) \).**Options for Isomorphism \( f \):**- Option 1: \( f(a) = 3, f(b) = 5, f(c) = 4, f(d) = 2, f(e) = 1 \)- Option 2: \( f(a) = 3, f(b) = 5, f(c) = 2, f(d) = 4, f(e) = 3 \)- Option 3: \( f(a) = 3, f(b) = 4, f(c) = 2, f(d) = 5, f(e) = 1 \)- Option 4: \( f(a) = 3, f(b) = 5, f(c) = 2, f(d) = 4, f(e) = 1 \)**Goal:** Determine which function \( f \) correctly maps vertices of graph \( G \) to graph \( G' \) while preserving the adjacency between vertices.

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Select the function f that is an isomorphism from G to G b 3 5 2 G' G f(a) = 3, f(b) = 5, f(c) = 4, f(d) = 2, f(e) = 1 f(a) = 3, f(b) = 5, f(c) = 2, f(d) = 4, f(e) = 3 f(a) = 3, f(b) = 4, f(c) = 2, f(d) = 5, f(e) = 1 ) f(a) = 3, f(b) = 5, f(c) = 2, f(d) = 4, f(e) = 1

Select the function f that is an isomorphism from G to G b 3 5 2 G' G f(a) = 3, f(b) = 5, f(c) = 4, f(d) = 2, f(e) = 1 f(a) = 3, f(b) = 5, f(c) = 2, f(d) = 4, f(e) = 3 f(a) = 3, f(b) = 4, f(c) = 2, f(d) = 5, f(e) = 1 ) f(a) = 3, f(b) = 5, f(c) = 2, f(d) = 4, f(e) = 1

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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