@article { author = {Saha, Manideepa and Biswas, Sucharita and Das, Angsuman}, title = {On perfectness of annihilating-ideal graph of $\mathbb{Z}_n$}, journal = {Communications in Combinatorics and Optimization}, volume = {8}, number = {1}, pages = {173-181}, year = {2023}, publisher = {Azarbaijan Shahid Madani University}, issn = {2538-2128}, eissn = {2538-2136}, doi = {10.22049/cco.2021.27382.1252}, abstract = {The annihilating-ideal graph of a commutative ring $R$ with unity is defined as the graph $AG(R)$ whose vertex set is the set of all non-zero ideals with non-zero annihilators and two distinct vertices $I$ and $J$ are adjacent if and only if $IJ = 0$. Nikandish et.al. proved that $AG(\mathbb{Z}_n)$ is weakly perfect. In this short paper, we characterize $n$ for which $AG(\mathbb{Z}_n)$ is perfect.}, keywords = {annihilator,perfect graph,ideals}, url = {http://comb-opt.azaruniv.ac.ir/article_14328.html}, eprint = {http://comb-opt.azaruniv.ac.ir/article_14328_df3f829c2e7dfbee3bdc028abc687ae5.pdf} }