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Subjects
06-XX Order, lattices, ordered algebraic structures
06Bxx Lattices
06B10 Ideals, congruence relations

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Displaying 1 – 4 of 4

Weak direct factors of lattices

Judita Lihová (2006)

Mathematica Slovaca

Weakly atomic lattices with Stonean congruence lattice

Sándor Radelecki (2002)

Mathematica Slovaca

Weakly regular lattices

Ivan Chajda (1985)

Mathematica Slovaca

When a line graph associated to annihilating-ideal graph of a lattice is planar or projective

Atossa Parsapour, Khadijeh Ahmad Javaheri (2018)

Czechoslovak Mathematical Journal

Let $(L, \land, \lor)$ be a finite lattice with a least element 0. $𝔸 G (L)$ 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 $I \land J = 0$ . We completely characterize all finite lattices $L$ whose line graph associated to an annihilating-ideal graph, denoted by $𝔏 (𝔸 G (L))$ , is a planar or projective graph.

Currently displaying 1 – 4 of 4

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