Euler Trail and Regular Graph

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Can Regular graph have Euler trail? I really don't know where to start. Should I look at the middle part of the Regular graph, both ends of the trail, or otherwise?
discrete-mathematics
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Can Regular graph have Euler trail? I really don't know where to start. Should I look at the middle part of the Regular graph, both ends of the trail, or otherwise?
discrete-mathematics
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Can Regular graph have Euler trail? I really don't know where to start. Should I look at the middle part of the Regular graph, both ends of the trail, or otherwise?
discrete-mathematics
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KeKJA is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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Can Regular graph have Euler trail? I really don't know where to start. Should I look at the middle part of the Regular graph, both ends of the trail, or otherwise?
discrete-mathematics
discrete-mathematics
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asked Nov 14 at 2:16


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A graph has an Euler trail then it has 0 or 2 vertices of odd degree. Hence, not all regular graph admits an Euler trail. Take for example $K_4$.
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1 Answer
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1 Answer
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active
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A graph has an Euler trail then it has 0 or 2 vertices of odd degree. Hence, not all regular graph admits an Euler trail. Take for example $K_4$.
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A graph has an Euler trail then it has 0 or 2 vertices of odd degree. Hence, not all regular graph admits an Euler trail. Take for example $K_4$.
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A graph has an Euler trail then it has 0 or 2 vertices of odd degree. Hence, not all regular graph admits an Euler trail. Take for example $K_4$.
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A graph has an Euler trail then it has 0 or 2 vertices of odd degree. Hence, not all regular graph admits an Euler trail. Take for example $K_4$.
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answered Nov 14 at 2:41
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