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Consider the two following graphs and denote the upper graph as G and the lower graph as H. Answer the following questions. a) Are G and H isomorphic? Why? b) What is the chromatic number of G? Why? c) Show that H is bipartite. u3

Consider the two following graphs and denote the upper graph as G and the lower graph as H. Answer the following questions. a) Are G and H isomorphic? Why? b) What is the chromatic number of G? Why? c) Show that H is bipartite. u3

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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3. Consider the two following graphs and denote the upper graph as G and the lower graph as H. Answer the U6 following questions. a) Are G and H isomorphic? Why? b) What is the chromatic number of G? Why? c) Show that H is bipartite. d) Does H contain a complete matching? Why? U 1 u2 U3 U4 U5 e) Consider G as a planar representation of a planar graph. Label regions in G, and find degree of each region in G. Ug U 10 V6 V7 V1 V2 V3 V4 V5 V8 V9 V10
Transcribed Image Text:3. Consider the two following graphs and denote the upper graph as G and the lower graph as H. Answer the U6 following questions. a) Are G and H isomorphic? Why? b) What is the chromatic number of G? Why? c) Show that H is bipartite. d) Does H contain a complete matching? Why? U 1 u2 U3 U4 U5 e) Consider G as a planar representation of a planar graph. Label regions in G, and find degree of each region in G. Ug U 10 V6 V7 V1 V2 V3 V4 V5 V8 V9 V10
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