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Author

Jitender Kumar

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Preprint Sep 2026

On the vertex connectivity of weakly zero-divisor graph of commutative rings

The weakly zero-divisor graph $W\Gamma(R)$ of a commutative ring $R$ is the simple undirected graph whose vertices are nonzero zero-divisors of $R$, and two distinct vertices $x$, $y$ are adjacent if and only if there exists $w\in {\rm ann}(x)$ and $ z\in {\rm ann}(y)$ such that $wz =0$. In this paper, first we prove t...

Mohd Shariq, Jitender Kumar · 0 citations
Jul 2026

A graph with respect to idempotents of a Ring-II

Let [Formula: see text] be a ring with unity. The idempotent graph [Formula: see text] of a ring [Formula: see text] is an undirected simple graph whose vertex set is [Formula: see text] and two vertices [Formula: see text], [Formula: see text] are adjacent if and only if [Formula: see text] is an idempotent element of...

Praveen Mathil, Jitender Kumar, Barkha Baloda · 0 citations

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