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Date: 19-4-2022
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The clique graph of a given graph is the graph intersection of the family of cliques of . A graph is a clique graph iff it contains a family of complete subgraphs whose graph union is , such that whenever every pair of such complete graphs in some subfamily has a nonempty graph intersection, the intersection of all members of is not empty (Harary 1994, p. 20).
Harary, F. Graph Theory. Reading, MA: Addison-Wesley, 1994.
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