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Date: 22-3-2022
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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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