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$E(S)$ denotes the neighborhood of a subset S of the left-side vertices in the right-side set. It is the set of all right-side vertices adjacent to at least one vertex in S.

Conditions: S is a subset of the left-side vertices.; Adjacency is taken in the given bipartite graph.

$E(S)$ denotes the neighborhood of a subset S of the left-side vertices in the right-side set. It is the set of all right-side vertices adjacent to at least one vertex in S.

Conditions: S is a subset of the left-side vertices.; Adjacency is taken in the given bipartite graph.