graph has 56 even vertices and eight 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 an Euler path but not an Euler circuit neither an Euler path nor an Euler circuit By Euler s theorem this is because the graph has more even vertices than odd vertices OOO more than two odd vertices more than two even vertices HI