Uniquely complemented zero-divisor graphs of semigroups with clique number n ≥ 3 are isomorphic to G(P(n)).
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The zero-divisor graph Γ(Q) of a poset Q with 0 is complemented if and only if Q is quasi-complemented, with complemented and uniquely complemented graphs coinciding for any such poset.
citing papers explorer
-
A Proof of the Conjecture on complemented zero-divisor graphs of semigroups
Uniquely complemented zero-divisor graphs of semigroups with clique number n ≥ 3 are isomorphic to G(P(n)).
-
Complemented zero-divisor graph of posets
The zero-divisor graph Γ(Q) of a poset Q with 0 is complemented if and only if Q is quasi-complemented, with complemented and uniquely complemented graphs coinciding for any such poset.