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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Yousef Alavi, Don R. Lick, Song Lin Tian (1989)
Mathematica Slovaca
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Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Allen, Peter (2010)
The Electronic Journal of Combinatorics [electronic only]
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Nedialkov, Evgeni, Nenov, Nedyalko (2002)
The Electronic Journal of Combinatorics [electronic only]
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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.
Alon, Noga, Sudakov, Benny (2006)
The Electronic Journal of Combinatorics [electronic only]
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Chao, Chong-Yun (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Martin, Ryan, Zhao, Yi (2009)
The Electronic Journal of Combinatorics [electronic only]
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