Imagine a very large connected graph that has 650 even vertices and no odd vertices. a) Does an Euler path exist for this graph?

Question

Imagine a very large connected graph that has 650 even vertices and no odd vertices.
a) Does an Euler path exist for this graph? Explain.
b) Does an Euler circuit exist for this graph? Explain.
a) Choose the correct answer below.
A. Yes. There are no odd vertices.
B. Yes. The graph is sufficiently large that an Euler path will exist regardless of the number of even and odd vertices.
C. No. There are too many even vertices for an Euler path to exist regardless of the number of odd vertices.
D. Yes. There are sufficiently many even vertices that an Euler path will exist regardless of the number of odd vertices.
E. No. The graph is too large for an Euler path to exist regardless of the number of even or odd vertices.
F. No. There are no odd vertices.

Kunduz · Accepted Answer

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