Prove this corollary... The connected graph G contains an Eulerian trail if and only if there are at most two vertices of odd degree.

Can someone provide the proof for this? TIA

! Consider the graph G below to answer the following questions E A C F (a) Draw a subgraph of G that is a path of length 4. Label the vertices.

The symmetric difference graph of two graphs G. (V. E.) and G₂ (V₁ E₂) on the same vertex Set is defined as G₁ AG₂:= (V, E, DE₂). E₁ DE ₂ = (E₁ \ E₂) U (E₂\E.) : E₁ E₂ = €₁ 0 € ₂ If G₁ and 6₂ are euleran, show that every Vertex in G, D G₂ has even degree FACT: Each vertex of a evlenan graph has even degree. SO: Show G₁ D G₂ is eulerian.