Geodesic
A bound on the number of leaves in a~spanning tree of a~connected graph of minimal degree~6
Zapiski Nauchnykh Seminarov POMI, Combinatorics and graph theory. Part IX, Tome 464 (2017), pp. 112-131

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It is proved, that a connected graph of minimal degree 6 has a spanning tree, such that at least $\frac{11}{21}$ of its vertices are leaves. 
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     author = {E. N. Simarova},
     title = {A bound on the number of leaves in a~spanning tree of a~connected graph of minimal degree~6},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {112--131},
     publisher = {mathdoc},
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     year = {2017},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_464_a6/}
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E. N. Simarova. A bound on the number of leaves in a~spanning tree of a~connected graph of minimal degree~6. Zapiski Nauchnykh Seminarov POMI, Combinatorics and graph theory. Part IX, Tome 464 (2017), pp. 112-131. http://geodesic.mathdoc.fr/item/ZNSL_2017_464_a6/