# If every block in graph G is eulerian, is G necessarily eulerian? [closed]

I know that if $$G$$ is Eulerian, then every block contained within it is also Eulerian, but is the converse true?

• Is G connected? Apr 4, 2018 at 19:16

If every block is Eulerian, then every vertex in $G$ which is the edge-disjoint union of its blocks has even degree. This holds for connected graphs $G$.