Nimbhokar, S.K., Vidya, S.D., Incomparability graphs of dismantable lattices , Asian-European J of Math., 13(1)(2020), 1–8.
Parsapour, A., Javaheri, K A., The embedding of annihilating-ideal graphs associated to lattices in the projective plane, Bull. Malays. Math. Sci. Soc., 42(2019), 1625–1638.
Wasadikar, M., Survase, P., Lattices, whose incomparability graphs have horns, J Discrete Algorithms, 23(2013), 63–75.
Let $\mathcal{L}$ be a bounded lattice. The essential element graph of $\mathcal{L}$ is a simple undirected graph $\varepsilon_{\mathcal{L}}$ such that the elements $x,y$ of $\mathcal{L}$ form an edge in $\varepsilon_{\mathcal{L}}$, whenever $x \vee y $ is an essential element of $\mathcal{L}$. In this paper, we study properties of the essential elements of lattices and essential element graphs. We study the lattices whose zero-divisor graphs and incomparability graphs are isomorphic to its essential element graphs. Moreover, the line essential element graphs are investigated.
Nimbhokar, S.K., Vidya, S.D., Incomparability graphs of dismantable lattices , Asian-European J of Math., 13(1)(2020), 1–8.
Parsapour, A., Javaheri, K A., The embedding of annihilating-ideal graphs associated to lattices in the projective plane, Bull. Malays. Math. Sci. Soc., 42(2019), 1625–1638.
Wasadikar, M., Survase, P., Lattices, whose incomparability graphs have horns, J Discrete Algorithms, 23(2013), 63–75.
Ülker, A. (2022). On the Essential Element Graph of a Lattice. Turkish Journal of Mathematics and Computer Science, 14(2), 248-255. https://doi.org/10.47000/tjmcs.885881
AMA
Ülker A. On the Essential Element Graph of a Lattice. TJMCS. December 2022;14(2):248-255. doi:10.47000/tjmcs.885881
Chicago
Ülker, Alper. “On the Essential Element Graph of a Lattice”. Turkish Journal of Mathematics and Computer Science 14, no. 2 (December 2022): 248-55. https://doi.org/10.47000/tjmcs.885881.
EndNote
Ülker A (December 1, 2022) On the Essential Element Graph of a Lattice. Turkish Journal of Mathematics and Computer Science 14 2 248–255.
IEEE
A. Ülker, “On the Essential Element Graph of a Lattice”, TJMCS, vol. 14, no. 2, pp. 248–255, 2022, doi: 10.47000/tjmcs.885881.
ISNAD
Ülker, Alper. “On the Essential Element Graph of a Lattice”. Turkish Journal of Mathematics and Computer Science 14/2 (December 2022), 248-255. https://doi.org/10.47000/tjmcs.885881.
JAMA
Ülker A. On the Essential Element Graph of a Lattice. TJMCS. 2022;14:248–255.
MLA
Ülker, Alper. “On the Essential Element Graph of a Lattice”. Turkish Journal of Mathematics and Computer Science, vol. 14, no. 2, 2022, pp. 248-55, doi:10.47000/tjmcs.885881.
Vancouver
Ülker A. On the Essential Element Graph of a Lattice. TJMCS. 2022;14(2):248-55.