Planar index and outerplanar index of zero-divisor graphs of commutative rings without identity
نویسندگان
چکیده
Let $R$ be a commutative ring without identity. The zero-divisor graph of $R,$ denoted by $\Gamma(R)$ is with vertex set $Z(R)\setminus \{0\}$ which the all nonzero elements and two distinct vertices $x$ $y$ are adjacent if only $xy=0.$ In this paper, we characterize rings whose graphs outerplanar graphs. Further, establish planar index, index finite
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ژورنال
عنوان ژورنال: International Electronic Journal of Algebra
سال: 2023
ISSN: ['1306-6048']
DOI: https://doi.org/10.24330/ieja.1152714