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The composition of graphs and with disjoint point sets and and edge sets and is the graph with point vertex and adjacent with whenever or (Harary 1994, p. 22). It is also called the graph lexicographic product.
Harary, F. Graph Theory. Reading, MA: Addison-Wesley, p. 22, 1994.
Imrich, W.; Klavzar, S.; and Rall, D. F. Graphs and their Cartesian Product. Wellesley, MA: A K Peters, 2008.
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