q4, I need A (iii)and(iv) 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?

Ans (4) Eulerian graph consist 2 properties Euler path => Edges will not repeat in…

Answered: ) Determine with justification which of…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

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) 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.