The easiest, and probably most illuminating, method is to look at the diagram above. Nevertheless, I thought I would give an explicit example.

\\(S=\\{1,2,3,4\\},\,\,T=\\{12,3,4\\}\\).

c=[124][3], d=[1234], e=[12][3][4]

\\(g^* (\mathrm{d})\\)=[1234], \\(g^* (\mathrm{e})\\)=[12][3][4]

[124][3]\\(\leq\\)[1234] and [124][3]\\(\nleq\\)[12][3][4].

\\(S=\\{1,2,3,4\\},\,\,T=\\{12,3,4\\}\\).

c=[124][3], d=[1234], e=[12][3][4]

\\(g^* (\mathrm{d})\\)=[1234], \\(g^* (\mathrm{e})\\)=[12][3][4]

[124][3]\\(\leq\\)[1234] and [124][3]\\(\nleq\\)[12][3][4].