Q4, I need A(i) and(ii) please (a) Consider the following graph GB.F) Write down the degree sequence of G.(ii) What is the chromatic number of G? Justify your answer.(iii) Find the least number n so that G is an n-partite graph. Justify your answer.(iv) Determine with justification which of the following statements is true:• Gis an Eulerian graph but not a Hamiltonian graph.• Gis both Eulerian and Hamiltonian graph.• Gis Hamiltonian but not an Eulerain graph.(b) Let G be a simple plane graph with 11 vertices.(1) Prove that G has a vertex of degree at most 4.(ii) What is the largest number of faces G can have?

Answered: Image /qna-images/answer/5ebac34a-0947-4807-a52e-09291a46d97d.jpg

Answered: (a) Consider the following graph G B. F…

(a) Consider the following graph G B. F D E (i) Write down the degree sequence of G. (ii) What is the chromatic number of G? Justify your answer.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.2: Graphs Of Equations In Two Variables; Circles

Problem 5E: a If a graph is symmetric with respect to the x-axis and (a,b) is on the graph, then (,) is also on...

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Question

Q4, I need A
(i) and(ii) please

(a) Consider the following graph G
B.
F
) Write down the degree sequence of G.
(ii) What is the chromatic number of G? Justify your answer.
(iii) Find the least number n so that G is an n-partite graph. Justify your answer.
(iv) Determine with justification which of the following statements is true:
• Gis an Eulerian graph but not a Hamiltonian graph.
• Gis both Eulerian and Hamiltonian graph.
• Gis Hamiltonian but not an Eulerain graph.
(b) Let G be a simple plane graph with 11 vertices.
(1) Prove that G has a vertex of degree at most 4.
(ii) What is the largest number of faces G can have?

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