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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 464, Pages 112–131 (Mi znsl6525)  
A bound on the number of leaves in a spanning tree of a connected graph of minimal degree 6

E. N. Simarova

St. Petersburg State University, St. Petersburg, Russia
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Abstract: 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.
Key words and phrases: distance graph, independence number, Turán type bounds.
Received: 27.11.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 236, Issue 5, Pages 542–553
DOI: https://doi.org/10.1007/s10958-018-4132-2
Document Type: Article
UDC: 519.172.1
Language: Russian
Citation: E. N. Simarova, “A bound on the number of leaves in a spanning tree of a connected graph of minimal degree 6”, Combinatorics and graph theory. Part IX, Zap. Nauchn. Sem. POMI, 464, POMI, St. Petersburg, 2017, 112–131; J. Math. Sci. (N. Y.), 236:5 (2019), 542–553
Citation in format AMSBIB
\Bibitem{Sim17}
\by E.~N.~Simarova
\paper A bound on the number of leaves in a~spanning tree of a~connected graph of minimal degree~6
\inbook Combinatorics and graph theory. Part~IX
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 464
\pages 112--131
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6525}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 236
\issue 5
\pages 542--553
\crossref{https://doi.org/10.1007/s10958-018-4132-2}
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