the girth of the complement of zero divisor graph

the girth of the complement of zero divisor graph

let R be a commutative ring with unity. if the girth of the complement of
zero-divisor graph equal 3 { ¡¼¦£(R)¡½^c=3 }, then in polynomial ring R[x]
¡¼¦£(R)¡½^c=3