discrete math 4. (4 pts) Be sure to explain all your answers. (a) For which values...

discrete math
4.
(4 pts) Be sure to explain all your answers.
(a) For which values of n does the graph Kn contain an Euler circuit?
(b) For which values of n does the graph Kn contain a Hamilton circuit?

thank you so much in advance!

Solutions

Expert Solution

(a) According to Euler's Theorem, for all Odd n(n > 1) i.e n = 3, 5, 7, 9, 11, ....

The complete graph Kn contain an Euler Circuit.

(b) According to Ore's Theorem, for all n > 2, yhe complete graph Kn contain Hamilton Circuit.

Colby Messinger answered 7 hours ago

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