Domination in total graphs of small rings
2016 ◽
Vol 08
(04)
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pp. 1650069
Let [Formula: see text] be a commutative ring and [Formula: see text] be its set of zero divisors. The total graph of [Formula: see text] (introduced by Anderson and Badawi) denoted by [Formula: see text]. For any positive integers [Formula: see text] and [Formula: see text] we obtain the domination number of the total graph of [Formula: see text]. We also obtain various domination parameters including [Formula: see text] and [Formula: see text]. Finally we explore domination parameters in the complement of the total graph [Formula: see text].
2013 ◽
Vol 12
(04)
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pp. 1250198
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2015 ◽
Vol 07
(01)
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pp. 1550004
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2011 ◽
Vol 03
(04)
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pp. 413-421
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2012 ◽
Vol 11
(04)
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pp. 1250074
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2013 ◽
Vol 05
(04)
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pp. 1350035
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2019 ◽
Vol 18
(10)
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pp. 1950190
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2015 ◽
Vol 15
(01)
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pp. 1650014
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