Abstract
Let (L,∧, ∨) be a finite lattice with a least element 0. AG(L) is an annihilating-ideal graph of L in which the vertex set is the set of all nontrivial ideals of L, and two distinct vertices I and J are adjacent if and only if I ∧ J = 0. We completely characterize all finite lattices L whose line graph associated to an annihilating-ideal graph, denoted by L(AG(L)), is a planar or projective graph.
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Parsapour, A., Javaheri, K.A. When a line graph associated to annihilating-ideal graph of a lattice is planar or projective. Czech Math J 68, 19–34 (2018). https://doi.org/10.21136/CMJ.2018.0635-15
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DOI: https://doi.org/10.21136/CMJ.2018.0635-15