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Author

Presley Kiplagat

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Open access Sep 2026

Connectivity and Distance Properties of Zero-Divisor Graphs of Finite Commutative Semilocal Rings

The zero-divisor graph of a commutative ring provides a natural connection between algebraic and graph-theoretic structures. Although extensive research has been conducted on the algebraic and combinatorial properties of zero-divisor graphs, their connectivity and metric properties over finite semilocal rings remain co...

Presley Kiplagat · 0 citations
Open access Jul 2026

Structural Properties of Zero-Divisor Graphs of Multilocal Finite Rings

Let N =Yti=1pnii , t ≥ 2, where the primes p1, . . . , pt are distinct and ni ≥ 1, and let R = Z/NZ. The nonzero zero-divisors of R are partitioned by their truncated prime-adic valuation vectors. This paper develops the resulting valuation-layer description of the zero-divisor graph Γ(R). A complete formula is obtain...

Presley Kiplagat, Lao Hussein Mude, Zachary Kayiita · 0 citations

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