On generalized outerplanarity of line graphs
Jiří Sedláček (1990)
Časopis pro pěstování matematiky
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Jiří Sedláček (1990)
Časopis pro pěstování matematiky
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Ivan Gutman, Yeong Nan Yeh (1995)
Mathematica Slovaca
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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.