Consider the two following graphs and answer the following questions. a) Are G and H isomorphic? Why? b) Show that H is bipartite. c) Show that k(G) = 2. d) Show that 2(H) = 2. %3D U5 %3D e) Does G contain any Eulerian circuit? Why? f) Find a Hamiltonian path in H. g) Consider H as a planar representation of a planar Ug U4 graph. Label regions in H, and find degree of each

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
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Can I get a solution for d~f?

Consider the two following graphs and answer the following questions.
a) Are G and H isomorphic? Why?
b) Show that H is bipartite.
c) Show that K(G) = 2.
d) Show that 1(H) = 2.
e) Does G contain any Eulerian circuit? Why?
Find a Hamiltonian path in H.
U2
V1
V2
U5 U6
V5 V6
Ug U7
V8 V7
f)
g) Consider H as a planar representation of a planar
graph. Label regions in H, and find degree of each
U4
Uz
V4
V3
G
H
region in H.
2.
Transcribed Image Text:Consider the two following graphs and answer the following questions. a) Are G and H isomorphic? Why? b) Show that H is bipartite. c) Show that K(G) = 2. d) Show that 1(H) = 2. e) Does G contain any Eulerian circuit? Why? Find a Hamiltonian path in H. U2 V1 V2 U5 U6 V5 V6 Ug U7 V8 V7 f) g) Consider H as a planar representation of a planar graph. Label regions in H, and find degree of each U4 Uz V4 V3 G H region in H. 2.
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