 The following table shows the most common graph products, with formula_1 denoting “is connected by an edge to”, and formula_2 denoting non-connection.The operator symbols listed here are by no means standard, especially in older papers.In general, a graph product is determined by any condition for ("u"1, "u"2) ∼ ("v"1, "v"2) that can be expressed in terms of the statements "u"1 ∼ "v"1, "u"2 ∼ "v"2, "u"1 = "v"1, and "u"2 = "v"2.