Co-intersection graph of submodules of a module
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Co-intersection graph of submodules of a module
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| Creator |
Mahdavi, L.A.
Talebi, Y. |
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| Description |
Let M be a unitary left R-module where R is a ring with identity. The co-intersection graph of proper submodules of M, denoted by Ω(M), is an undirected simple graph whose the vertex set V(Ω) is a set of all non-trivial submodules of M and there is an edge between two distinct vertices N and K if and only if N+K≠M. In this paper we investigate connections between the graph-theoretic properties of Ω(M) and some algebraic properties of modules . We characterize all of modules for which the co-intersection graph of submodules is connected. Also the diameter and the girth of Ω(M) are determined. We study the clique number and the chromatic number of Ω(M).
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| Date |
2019-06-16T10:46:54Z
2019-06-16T10:46:54Z 2016 |
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| Type |
Article
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| Identifier |
Co-intersection graph of submodules of a module / L.A. Mahdavi, Y. Talebi // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 128-143. — Бібліогр.: 11 назв. — англ.
1726-3255 2010 MSC:05C15, 05C25, 05C69, 16D10. http://dspace.nbuv.gov.ua/handle/123456789/155196 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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