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- W3090390401 abstract "Given an exact covering system $S = {a_i mod d_i : 1 leq i leq r}$, we introduce the corresponding exact covering system digraph (ECSD) $G_S = G(d_1n+a_1, ldots, d_rn+a_r)$. The vertices of $G_S$ are the integers and the edges are $(n, d_in+a_i)$ for each $n in mathbb{Z}$ and for each congruence in the covering system. We study the structure of these directed graphs, which have finitely many components, one cycle per component, as well as indegree 1 and outdegree $r$ at each vertex. We also explore the link between ECSDs that have a single component and non-standard digital representations of integers." @default.
- W3090390401 created "2020-10-08" @default.
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- W3090390401 date "2020-10-05" @default.
- W3090390401 modified "2023-09-27" @default.
- W3090390401 title "Directed graphs from exact covering systems" @default.
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- W3090390401 hasPublicationYear "2020" @default.
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