Citation
Lim, Chong Keang and Peng, Yee Hock
(1981)
On graphs without multicliqual edges.
Journal of Graph Theory, 5 (4).
pp. 443-451.
ISSN 0364-9024; ESSN: 1097-0118
Abstract
An edge which belongs to more than one clique of a given graph is called a multicliqual edge. We find a necessary and sufficient condition for a graph H to be the clique graph of some graph G without multicliqual edges. We also give a characterization of graphs without multicliqual edges that have a unique critical generator. Finally, it is shown that there are infinitely many self-clique graphs having more than one critical generator.
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