A note on the extended total graph of commutative rings

F Esmaeili Khalil Saraei, E Navidinia - Journal of Algebra and …, 2018 - jart.guilan.ac.ir
Let $ R $ be a commutative ring and $ H $ a nonempty proper subset of $ R $. In this paper,
the extended total graph, denoted by $ ET_ {H}(R) $ is presented, where $ H $ is …

Compressed intersection annihilator graph

M Soliman, N Megahed - arXiv preprint arXiv:2002.05450, 2020 - arxiv.org
Let R be a commutative ring with a non-zero identity. In this paper, we define a new graph,
the compressed intersection annihilator graph, denoted by $ IA (R) $, and investigate some …