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On the number of independent sets in a tree - MaRDI portal

On the number of independent sets in a tree (Q976671)

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scientific article; zbMATH DE number 5721427
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On the number of independent sets in a tree
scientific article; zbMATH DE number 5721427

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    On the number of independent sets in a tree (English)
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    16 June 2010
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    Summary: We show in a simple way that for any \(k, m \in \mathbb N\), there exists a tree \(T\) such that the number of independent sets of \(T\) is congruent to \(k\) modulo \(m\). This resolves a conjecture of \textit{S. G. Wagner} [Electron. J. Comb. 16, No. 1, Research Paper R93, 10 p. (2009; Zbl 1230.05165)].
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