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- W3025824069 abstract "Let $ mathbb {Z}_{n} $ be the ring of integers modulo $ n $. The unitary Cayley graph of $ mathbb {Z}_{n} $ is defined as the graph $ G( mathbb {Z}_{n} ) $ with the vertex set $ mathbb {Z}_{n} $ and two distinct vertices $a,b$ are adjacent if and only if $a-bin Uleft( mathbb {Z}_{n}right)$, where $ Uleft( mathbb {Z}_{n}right) $ is the set of units of $ mathbb {Z}_{n} $. Let $Gamma ( mathbb {Z}_{n} ) $ be the complement of $ G( mathbb {Z}_{n} ) $. In this paper, we determine the independence number of $ Gamma ( mathbb {Z}_{n} ) $. Also it is proved that $ Gamma ( mathbb {Z}_{n} ) $ is well-covered. Among other things, we provide condition under which $ Gamma ( mathbb {Z}_{n} ) $ is vertex decomposable." @default.
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- W3025824069 date "2020-04-01" @default.
- W3025824069 modified "2023-09-28" @default.
- W3025824069 title "A class of well-covered and vertex decomposable graphs arising from rings" @default.
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- W3025824069 doi "https://doi.org/10.29252/as.2020.1795" @default.
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