The domination and total domination numbers of a zero-divisor graph are equal for every commutative ring except Z2 × D with D a domain, where they are 1 and 2.
and Trampbachls, W., Zero-divisor ideals and realizable zero-divisor graphs, Involve 2 (2009), no
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
math.CO 1years
2025 1verdicts
CONDITIONAL 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings
The domination and total domination numbers of a zero-divisor graph are equal for every commutative ring except Z2 × D with D a domain, where they are 1 and 2.