頂点 $i,j$ が連結とは，同じ連結成分に属すことを意味します． 問題文をより明瞭な表現に変更しました．

"vertices $i$ and $j$ are connected" means "$i$ and $j$ are in the same connected component". We have updated the statement to make it clearer.

"i,j are connected" means there's an edge (i,j) or i,j are in the same connected component ?

i,j are in the same connected component