On a quasiordering of bipartite graphs.
Gutman, Ivan, Fuji, Zhang (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Gutman, Ivan, Fuji, Zhang (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Pavol Híc (1989)
Mathematica Slovaca
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Bohdan Zelinka (1983)
Czechoslovak Mathematical Journal
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Torgašev, Aleksandar (1991)
Publications de l'Institut Mathématique. Nouvelle Série
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Al-Addasi, S., Al-Ezeh, H. (2002)
International Journal of Mathematics and Mathematical Sciences
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Aparna Lakshmanan S., S. B. Rao, A. Vijayakumar (2007)
Mathematica Bohemica
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The paper deals with graph operators—the Gallai graphs and the anti-Gallai graphs. We prove the existence of a finite family of forbidden subgraphs for the Gallai graphs and the anti-Gallai graphs to be -free for any finite graph . The case of complement reducible graphs—cographs is discussed in detail. Some relations between the chromatic number, the radius and the diameter of a graph and its Gallai and anti-Gallai graphs are also obtained.