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- W2781791256 abstract "Abstract Let R be a commutative ring and M be a unital R -module. The intersection graph of submodules of M , denoted by G M , is the graph whose vertex set is the collection of all submodules of M and in which two distinct vertices A and B are adjacent if and only if A ∩ B ≠ 0 . In this paper the notion of essentiality of modules plays a vital role in the study of intersection graph of submodules of M . This notion gives a new dimension in characterizing the center of intersection graphs of submodules of M . We define mna (maximal non-adjacent) vertex in G M and observe some of its characteristics. The notion of complemented intersection graph exhibits some significant algebraic and graphical properties. Moreover, defining the concept of isolated center in G M we establish certain results related to mna vertex." @default.
- W2781791256 created "2018-01-12" @default.
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- W2781791256 date "2019-08-01" @default.
- W2781791256 modified "2023-09-24" @default.
- W2781791256 title "Center of intersection graph of submodules of a module" @default.
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- W2781791256 doi "https://doi.org/10.1016/j.akcej.2017.12.004" @default.
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