Question

a connected graph has 64 even vertices and no 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 an euler circuit. neither an euler path nor an euler circuit an euler path (but not an euler circuit). by eulers theorem, this is because the graph has more even vertices than odd vertices more than two even vertices no odd vertices.

Explanation:

According to Euler's theorem, a connected graph has an Euler circuit if and only if it has no odd - numbered vertices. In this case, the graph is connected and has no odd vertices.

Answer:

an Euler circuit; no odd vertices.