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Title: | Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn |
Authors: | Chandra, S. Prakash, O. Suthar, S. |
Keywords: | commutative ring zero-divisor graph nilradical graph non-nilradical graph chromatic number planar graph energy of a graph |
Issue Date: | 2018 |
Publisher: | ДЗ "ЛНУ імені Тараса Шевченка" |
Series/Report no.: | математичні науки; |
Abstract: | 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 investigate some properties of nilradical graph, denoted by N(Zn) and non-nilradical graph, denoted by Ω(Zn) of Γ(Zn). In particular, we determine 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. |
Description: | Chandra S. 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. - Number 2. - Рp. 181 -190 |
URI: | http://hdl.handle.net/123456789/4556 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (24). - 2017 |
Files in This Item:
File | Description | Size | Format | |
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54-2027-2-PB.pdf | 314.4 kB | Adobe PDF | View/Open |
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