Let G be a simple connected graph with exactly 8 vertices, one of them has degree 7, and the other 7 vertices have degree 3. Is G isomorphic to W-? Justify your answer.

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Chapter2: Second-order Linear Odes
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Number 6 please

(a) Determine how many cut vertices and how many cut edges G has.
(b) How many l's does the incidence matrix have in it?
(c) Does your graph have an Euler path? Justify your answer.
6. Let G be a simple connected graph with exactly 8 vertices, one of them has degree 7, and the
other 7 vertices have degree 3. Is G isomorphic to W-? Justify your answer.
7. Draw a simple connected graph with 6 vertices and 6 edges which is not isomorphic to C6.
Transcribed Image Text:(a) Determine how many cut vertices and how many cut edges G has. (b) How many l's does the incidence matrix have in it? (c) Does your graph have an Euler path? Justify your answer. 6. Let G be a simple connected graph with exactly 8 vertices, one of them has degree 7, and the other 7 vertices have degree 3. Is G isomorphic to W-? Justify your answer. 7. Draw a simple connected graph with 6 vertices and 6 edges which is not isomorphic to C6.
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