9. Suppose two graphs G and H have the same vertex set V. (a) Provide an example where deg, (v) = deg,(v) for all vertices v, but G and H are not isomorphic. (b) Provide an example where G and H are isomorphic, but degc(v) is not equal to deg(u) for at least some vertices v.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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9. Suppose two graphs G and H have the same vertex set V.
(a) Provide an example where deg c(v) = deg(v) for all vertices v, but G and
H
are not isomorphic.
(b) Provide an example where G and H are isomorphic, but dege(v)
deg(u) for at least some vertices v.
is not equal
to
Transcribed Image Text:9. Suppose two graphs G and H have the same vertex set V. (a) Provide an example where deg c(v) = deg(v) for all vertices v, but G and H are not isomorphic. (b) Provide an example where G and H are isomorphic, but dege(v) deg(u) for at least some vertices v. is not equal to
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