On graphs without multicliqual edges
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...
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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
John Wiley & Sons
1981
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Online Access: | http://psasir.upm.edu.my/id/eprint/33887/1/a25%20-%20on%20graphs%20without%20multicliqual%20edges.pdf http://psasir.upm.edu.my/id/eprint/33887/ |
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Institution: | Universiti Putra Malaysia |
Language: | English |
Summary: | 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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