Some Results on the Domination Number of a Zero-divisor Graph
Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 573-578
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In this paper, we investigate the domination, total domination, and semi-total domination numbers of a zero-divisor graph of a commutative Noetherian ring. Also, some relations between the domination numbers of $\Gamma \left( {R}/{I}\; \right)$ and ${{\Gamma }_{1}}\left( R \right)$ , and the domination numbers of $\Gamma \left( R \right)$ and $\Gamma \left( R\left[ x,\,\alpha ,\,\delta\right] \right)$ , where $R\left[ x,\,\alpha ,\,\delta\right]$ is the Ore extension of $R$ , are studied.
Kiani, Sima; Maimani, Hamid Reza; Nikandish, Reza. Some Results on the Domination Number of a Zero-divisor Graph. Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 573-578. doi: 10.4153/CMB-2014-027-8
@article{10_4153_CMB_2014_027_8,
author = {Kiani, Sima and Maimani, Hamid Reza and Nikandish, Reza},
title = {Some {Results} on the {Domination} {Number} of a {Zero-divisor} {Graph}},
journal = {Canadian mathematical bulletin},
pages = {573--578},
year = {2014},
volume = {57},
number = {3},
doi = {10.4153/CMB-2014-027-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-027-8/}
}
TY - JOUR AU - Kiani, Sima AU - Maimani, Hamid Reza AU - Nikandish, Reza TI - Some Results on the Domination Number of a Zero-divisor Graph JO - Canadian mathematical bulletin PY - 2014 SP - 573 EP - 578 VL - 57 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-027-8/ DO - 10.4153/CMB-2014-027-8 ID - 10_4153_CMB_2014_027_8 ER -
%0 Journal Article %A Kiani, Sima %A Maimani, Hamid Reza %A Nikandish, Reza %T Some Results on the Domination Number of a Zero-divisor Graph %J Canadian mathematical bulletin %D 2014 %P 573-578 %V 57 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-027-8/ %R 10.4153/CMB-2014-027-8 %F 10_4153_CMB_2014_027_8
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