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- W3133896124 abstract "Let $n,k$ be positive integers such that $ngeq 3$, $k < frac {n}{2} $. Let $q$ be a power of a prime $p$ and $mathbb{F}_q$ be a finite field of order $q$. Let $V(q,n)$ be a vector space of dimension $n$ over $mathbb{F}_q$. We define the graph $S(q,n,k)$ as a graph with the vertex set $V=V_k cup V_{k+1}$, where $V_k$ and $V_{k+1}$ are the family of subspaces in $V(q,n)$ of dimension $k$ and $k+1$ respectively, in which two vertices $v$ and $w$ are adjacent whenever $v$ is a subspace of $w$ or $w$ is a subspace of $v$. It is clear that the graph $S(q,n,k)$ is a bipartite graph. In this paper, we study some properties of this graph. In particular, we determine the spectrum of the graph $S(q,n,k)$." @default.
- W3133896124 created "2021-03-15" @default.
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- W3133896124 date "2021-03-11" @default.
- W3133896124 modified "2023-09-27" @default.
- W3133896124 title "The spectrum of a class of graphs derived from Grassmann graphs." @default.
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