Geodesic
On minimal vertex 1-extensions of special form superslim trees
Prikladnaâ diskretnaâ matematika, no. 12 (2010), pp. 68-70

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Tree is called superslim if all vertices except the root and leaves have degree 2. We consider the minimal vertex 1-extensions of superslim trees and provide a lower bound for the number of additional edges of minimal vertex 1-extensions of arbitrary superslim tree. We describe two families of superslim trees, for which lower bound is achieved. 
@article{PDM_2010_12_a32,
     author = {M. B. Abrosimov and D. D. Komarov},
     title = {On minimal vertex 1-extensions of special form superslim trees},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {68--70},
     publisher = {mathdoc},
     number = {12},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2010_12_a32/}
}
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M. B. Abrosimov; D. D. Komarov. On minimal vertex 1-extensions of special form superslim trees. Prikladnaâ diskretnaâ matematika, no. 12 (2010), pp. 68-70. http://geodesic.mathdoc.fr/item/PDM_2010_12_a32/