Geodesic
Trees without twin-leaves with smallest number of maximal independent sets
Diskretnaya Matematika, Tome 30 (2018) no. 4, pp. 115-133.

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For any $n$, in the set of $n$-vertex trees such that any two leaves have no common adjacent vertex, we describe the trees with the smallest number of maximal independent sets.
Keywords: extremal combinatorics, tree, maximal independent set. 
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D. S. Taletskii; D. S. Malyshev. Trees without twin-leaves with smallest number of maximal independent sets. Diskretnaya Matematika, Tome 30 (2018) no. 4, pp. 115-133. http://geodesic.mathdoc.fr/item/DM_2018_30_4_a10/

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