Does the following graph have an Euler circuit? If the graph has an Euler circuit, choose the answer that describes it. If the graph does not have an Euler circuit, choose the answer that explains why. y O One Euler circuit: stuv w xyuzrs O One Euler circuit: stuv w xyzr O One Euler circuit: stuvwx y zrsuwyuzs O This graph does not have an Euler circuit because all the vertices have odd degree. O This graph does not have an Euler circuit because all the vertices have even degree. O This graph does not have an Euler circuit because the graph is not connected.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Does the following graph have an Euler circuit? If the graph has an Euler circuit, choose the answer that describes it. If the graph does
not have an Euler circuit, choose the answer that explains why.
y
O One Euler circuit: stuv w xyuzrs
O One Euler circuit: stu v w xyzr
O One Euler circuit: stuvwx yzrsuwyuzs
O This graph does not have an Euler circuit because all the vertices have odd degree.
O This graph does not have an Euler circuit because all the vertices have even degree.
O This graph does not have an Euler circuit because the graph is not connected.
Transcribed Image Text:Does the following graph have an Euler circuit? If the graph has an Euler circuit, choose the answer that describes it. If the graph does not have an Euler circuit, choose the answer that explains why. y O One Euler circuit: stuv w xyuzrs O One Euler circuit: stu v w xyzr O One Euler circuit: stuvwx yzrsuwyuzs O This graph does not have an Euler circuit because all the vertices have odd degree. O This graph does not have an Euler circuit because all the vertices have even degree. O This graph does not have an Euler circuit because the graph is not connected.
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