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On self-clique graphs with given clique sizes, II
Authors:GL Chia  Poh-Hwa Ong
Institution:a Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia
b Department of Mathematical and Actuarial Sciences, Universiti Tunku Abdul Rahman, 46200 Petaling Jaya, Selangor, Malaysia
Abstract:The clique graph of a graph G is the graph obtained by taking the cliques of G as vertices, and two vertices are adjacent if and only if the corresponding cliques have a non-empty intersection. A graph is self-clique if it is isomorphic to its clique graph. We give a new characterization of the set of all connected self-clique graphs having all cliques but two of size 2.
Keywords:Cliques in graphs  Self-clique graphs
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