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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) = U1 U5 U6 V5 V6 = 2. 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 graph. Label regions in H, and find degree of each Ug U7 V's ウ U4 Uz V4 V3

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) = U1 U5 U6 V5 V6 = 2. 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 graph. Label regions in H, and find degree of each Ug U7 V's ウ U4 Uz V4 V3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Consider the two following graphs and answer the following questions. a) Are G and H isomorphic? Why? b) Show that H is bipartite. U1 U2 V1 V2 c) Show that K(G) = 2. d) Show that 1(H) = 2. e) Does G contain any Eulerian circuit? Why? Us U6 V5 V6 f) Find a Hamiltonian path in H. Ug U7 Vg V7 g) Consider H as a planar representation of a planar U4 Uz V4 V3 graph. Label regions in H, and find degree of each G H region in H.
Transcribed Image Text:2. Consider the two following graphs and answer the following questions. a) Are G and H isomorphic? Why? b) Show that H is bipartite. U1 U2 V1 V2 c) Show that K(G) = 2. d) Show that 1(H) = 2. e) Does G contain any Eulerian circuit? Why? Us U6 V5 V6 f) Find a Hamiltonian path in H. Ug U7 Vg V7 g) Consider H as a planar representation of a planar U4 Uz V4 V3 graph. Label regions in H, and find degree of each G H region in H.
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