Abstract In this paper, we study some basic properties of the zero-divisor graph of ring Fpl×Fqm×Frn,
where Fpl, Fqm and Frn are fields of order pl, qm and rn, respectively, p,q and r are primes
(not necessarily distinct) and l,m,n≥1 are positive numbers. Also, we discuss some topological indices of the graph
Γ(Fpl×Fqm×Frn). 
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