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- W3035262052 abstract "Let $mathbb{F}_q$ be a finite field with $q$ elements, $ngeq2$ a positive integer, $mathbb{V}_0$ a $n$-dimensional vector space over $mathbb{F}_q$ and $mathbb{T}_0$ the set of all linear functionals from $mathbb{V}_0$ to $mathbb{F}_q$. Let $mathbb{V}=mathbb{V}_0setminus{0}$ and $mathbb{T}=mathbb{T}_0setminus{0}$. The emph{linear functional graph} of $mathbb{V}_0$ dented by $digamma(mathbb{V})$, is an undirected bipartite graph, whose vertex set $V$ is partitioned into two sets as $V=mathbb{V}cup mathbb{T}$ and two vertices $vin mathbb{V}$ and $fin mathbb{T}$ are adjacent if and only if $f$ sends $v$ to the zero element of $mathbb{F}_q$ (i.e. $f(v)=0$). In this paper, the structure of all automorphisms of this graph is characterized and formolized. Also the cardinal number of automorphisms group for this graph is determined." @default.
- W3035262052 created "2020-06-19" @default.
- W3035262052 creator A5003935059 @default.
- W3035262052 date "2020-06-15" @default.
- W3035262052 modified "2023-09-27" @default.
- W3035262052 title "Automorphisms of linear functional graphs over vector spaces" @default.
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- W3035262052 hasPublicationYear "2020" @default.
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