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Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn
Репозиторій DSpace/Manakin
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Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn
Інший ID:
2010 MSC:13Axx, 05Cxx, 05C15, 05C10, 65KXX.
Посилання:
Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn / S. Chandra, O. Prakash, S. Suthar // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 181-190. — Бібліогр.: 8 назв. — англ.
Дата:
2017
Переглядів:
571
Завантажень:
206
Анотація:
Let Zn be the finite commutative ring of residue classes modulo n with identity and Γ(Zn) be its zero-divisor graph. In this paper, we investigated some properties of nilradical graph, denoted by N(Zn) and non-nilradical graph, denoted by Ω(Zn) of Γ(Zn). In particular, we determined the Chromatic number and Energy of N(Zn) and Ω(Zn) for a positive integer n. In addition, we have found the conditions in which N(Zn) and Ω(Zn) graphs are planar. We have also given MATLAB coding of our calculations.
