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Trees of Diameter 6 and 7 with Minimum Number of Independent Sets

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Abstract

We consider the problem of describing \(n\)-vertex trees of diameter \(d\) containing as few independent sets as possible. This problem is solved for \(d=6\) and \(n>160\), as well as for \(d=7\) and \(n>400\).

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References

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Funding

The paper was prepared in the course of studies in the framework of the Basic Research Program at National Research University Higher School of Economics (HSE).

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Correspondence to D. S. Taletskii.

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Taletskii, D.S. Trees of Diameter 6 and 7 with Minimum Number of Independent Sets. Math Notes 109, 280–291 (2021). https://doi.org/10.1134/S0001434621010326

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  • DOI: https://doi.org/10.1134/S0001434621010326

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