Zero-divisor graph of a poset with respect to an automorphism

Lattice automorphism and zero‐divisor graphs of lattices

“…In the past years, many authors have studied zero-divisor graphs of algebraic structures such as commutative rings, semigroups, partially ordered sets and lattices [1,3,5,10,12,13,14,16,17,18,19,24,25,28]. Apart from zero-divisor graphs, authors introduced and studied various graphs related to commutative rings, partially ordered sets and lattices.…”

“…The graphs associated to lattices such as incomparability graphs [27], crown-free lattices graphs studied by authors in [8]. In [25], Patil, Khairnar, and Waphare studied zero-divisor graph of a poset with respect to an automorphism and they introduced generalized zero-divisor graph of a partially ordered set. Inspired by this work, we studied zero-divisor graph of a lattice with respect to an automorphism.…”