Consider a connected, undirected graph G$.$ Given distinct nodes s and s$\text{'}$ of G$,$ let LO$,$L$1,...,$Lk be the level sets obtained by running BFS on G starting from $s,$ where $LO=\{s\},$ and let L$\text{'}1,...,\text{'}$m be the level sets obtained by running BFS on $G$ starting from s$\text{'},$ where $L^{\text{'}}O=\{s^{\text{'}}\}.$

True or false: It is possible for some edge of $G$ to connect two vertices in some layer Li while no edge of $G$ connects two vertices in any layer $Lj.$

$$ True

False