JP Journal of Algebra, Number Theory and Applications
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Abstract: For the ring of integers modulo (a non-negative
integer) N, is the set of nonzero zero-divisors.
Let be a simple nonzero zero-divisor
graph with vertices and for distinct the vertices x
and y are adjacent if and only if In this paper, we give the exact
value of l-number of with maximum degree Dand minimum number in the prime factorization of N,
and obtain an
-labelling algorithm of
Keywords and phrases: zero-divisors,
-labelling, l-number.