Give an example or explain why no such example exists: A regular eulerian graph with an...

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Give an example or explain why no such example exists: A regular eulerian graph with an...

Give an example or explain why no such example exists:

A regular eulerian graph with an even number of vertices and an odd number of edges.

math Advanced-Math

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Answer 1

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graph There does not exist such a Proof raph Let G be regular Eularian a number of verbices and with edges CNote that n is ev We know dcvi)= fOr all i So dv) td(v) divi) times 2. 2 Sos 2. since .4 n ts even no We know that Verhces is even) and is even

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Give an example or explain why no such example exists: A regular eulerian graph with an...

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Show that a connected regular graph with an odd number of vertices is always Eulerian.

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Give an example or explain why no such example exists: A regular eulerian graph with an...