The covering chain of a graph (Q2811822)

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scientific article; zbMATH DE number 6592407
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English
The covering chain of a graph
scientific article; zbMATH DE number 6592407

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    10 June 2016
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    domination
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    independence
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    irredundance
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    vertex covering
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    enclaveless set
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    co-irredundance
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    The covering chain of a graph (English)
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    The domination chain is a fundamental result in domination theory. In this paper, a related covering chain is introduced and studied. Using some previously known and a couple of new Gallai-type theorems, it is proved that the covering chain is the dual of the domination chain. Covering sequences in which the first parameter equals 3 are also characterized.
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