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Regular version of the site

Article

Trees with a given number of leaves and the maximal number of maximum independent sets

Discrete Mathematics and Applications. 2021. Vol. 31. No. 2. P. 135-144.

A complete description of trees with maximal possible number of maximum independent setsamong all 𝑛-vertex trees with exactly 𝑙 leaves is obtained. For all values of the parameters 𝑛 and 𝑙, the extremal tree is unique and is the result of merging the endpoints of 𝑙 simple paths.