A connected graph has 80 even vertices and two odd vertices Determine whether the graph has an Euler path (but not an Euler circuit), an Euler circuit, or neither an Euler path nor an Euler circuit, and explain why. The described graph has neither an Euler path nor an Euler circuit. an Euler path (but not an Euler circuit). an Euler circuit. By Euler's theorem, this is because the graph has more than two even vertices. exactly two odd vertices. more even vertices than odd vertices.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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A connected graph has 80 even vertices and two odd vertices
Determine whether the graph has an Euler path (but not an Euler circuit), an Euler circuit, or neither an Euler path nor an Euler circuit, and explain why.
The described graph has
neither an Euler path nor an Euler circuit.
an Euler path (but not an Euler circuit).
an Euler circuit.
By Euler's theorem, this is because the graph has
more than two even vertices.
exactly two odd vertices.
more even vertices than odd vertices
Transcribed Image Text:A connected graph has 80 even vertices and two odd vertices Determine whether the graph has an Euler path (but not an Euler circuit), an Euler circuit, or neither an Euler path nor an Euler circuit, and explain why. The described graph has neither an Euler path nor an Euler circuit. an Euler path (but not an Euler circuit). an Euler circuit. By Euler's theorem, this is because the graph has more than two even vertices. exactly two odd vertices. more even vertices than odd vertices
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