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The Images of the Clique Operator and Its Square are Different
Authors:Pablo De Caria
Affiliation:CONICET/DEPARTAMENTO DE MATEMáTICA, UNIVERSIDAD NACIONAL DE LA PLATA, ARGENTINAURL: www.mate.unlp.edu.ar/~pdecaria/
Abstract:Let urn:x-wiley:03649024:media:jgt21772:jgt21772-math-0001 be the class of all graphs and K be the clique operator. The validity of the equality urn:x-wiley:03649024:media:jgt21772:jgt21772-math-0002 has been an open question for several years. A graph in urn:x-wiley:03649024:media:jgt21772:jgt21772-math-0003 but not in urn:x-wiley:03649024:media:jgt21772:jgt21772-math-0004 is exhibited here.
Keywords:clique graph  clique operator  iterated clique graph  octahedral graph
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