Prove that every undirected finite graph with vertex degree of at least 2 has a cycle.
Intuition-wise i need to prove that there's at least one 'tight -connection'. In other words, Proving that 2 vertexes {$v_i,v_{i+1}$}∈E exists so there's a way to reach from $v_i$ to $v_{i+1}$ and the other way around.
But since i am pretty new to graph theory, I'm not sure i'm even thinking about the question right. Any help would be nice.