(c) Consider graphs G₁, G₂ as follows.22U1V306G₂U5G₁V4U3V5UA(i) Find the vertex connectivity (G₁). Fully justify your answer.(ii) Prove that the geometric duals of G₁, G₂ are not isomorphic./0 1 0 0 11 0 1 0 101 02 00 0 2 0 11 1 0 1 0(d) Consider the graph G with an adjacency matrix A =(i) Draw the graph G which is a multigraph with 7 edges.(ii) Find the chromatic index x'(G) for edge colouring. Fully justify your answer.U6V2

According to our guidelines i am solving first one:…

(c) Consider graphs G₁, G₂ as follows. 2 山 6 Us Us G₂ G₁ u3 5 A (i) Find the vertex connectivity (G). Fully justify your answer. (ii) Prove that the geometric duals of G₁, G₂ are not isomorphic. .

(c) Consider graphs G₁, G₂ as follows. 2 山 6 Us Us G₂ G₁ u3 5 A (i) Find the vertex connectivity (G). Fully justify your answer. (ii) Prove that the geometric duals of G₁, G₂ are not isomorphic. .

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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Question

(c) Consider graphs G₁, G₂ as follows.
22
U1
V3
06
G₂
U5
G₁
V4
U3
V5
UA
(i) Find the vertex connectivity (G₁). Fully justify your answer.
(ii) Prove that the geometric duals of G₁, G₂ are not isomorphic.
/0 1 0 0 1
1 0 1 0 1
01 02 0
0 0 2 0 1
1 1 0 1 0
(d) Consider the graph G with an adjacency matrix A =
(i) Draw the graph G which is a multigraph with 7 edges.
(ii) Find the chromatic index x'(G) for edge colouring. Fully justify your answer.
U6
V2

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