Classification of rings with unit graphs having domination number less than four | Zendy

Sima Kiani | Zendy; Hamid Reza Maimani | Zendy; M. R. Pournaki | Zendy; Siamak Yassemi | Zendy

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Classification of rings with unit graphs having domination number less than four

Author(s) -

Sima Kiani,

Hamid Reza Maimani,

M. R. Pournaki,

Siamak Yassemi

Publication year - 2015

Publication title -

rendiconti del seminario matematico della università di padova

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 24

eISSN - 0373-319X

pISSN - 0041-8994

DOI - 10.4171/rsmup/133-9

Subject(s) - domination analysis , unit (ring theory) , combinatorics , mathematics , computer science , graph , mathematics education , vertex (graph theory)

Let R be a finite commutative ring with nonzero identity. The unit graph of R is the graph obtained by setting all the elements of R to be the vertices and defining distinct vertices x and y to be adjacent if and only if x + y is a unit element of R. In this paper, a classification of finite commutative rings with nonzero identity in which their unit graphs have domination number less than four is given.

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