A connected graph has 30 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 O neither an Euler path nor an Euler circuit an Euler circuit an Euler path but not an Euler circuit By Euler s theorem this is because the graph has O more even vertices than odd vertices more than two even vertices O exactly two odd vertices