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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 381, Pages 78–87 (Mi znsl3853)  
This article is cited in 5 scientific papers (total in 5 papers)

Spanning trees with many leaves

D. V. Karpov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (581 kB) Citations (5)
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Abstract: Let maximal chain of vertices of degree 2 in the graph $G$ consists of $k>0$ vertices. We prove that $G$ has a spanning tree with more than $\frac{v(G)}{2k+4}$ leaves (we denote by $v(G)$ the number of vertices of the graph $G$). We present an infinite serie of examples showing that the constant $\frac1{2k+4}$ cannot be enlarged. Bibl. 7 titles.
Key words and phrases: spanning tree, leaves, number of leaves.
Received: 23.08.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 179, Issue 5, Pages 616–620
DOI: https://doi.org/10.1007/s10958-011-0613-2
Bibliographic databases:
Document Type: Article
UDC: 519.172.1
Language: Russian
Citation: D. V. Karpov, “Spanning trees with many leaves”, Combinatorics and graph theory. Part II, Zap. Nauchn. Sem. POMI, 381, POMI, St. Petersburg, 2010, 78–87; J. Math. Sci. (N. Y.), 179:5 (2011), 616–620
Citation in format AMSBIB
\Bibitem{Kar10}
\by D.~V.~Karpov
\paper Spanning trees with many leaves
\inbook Combinatorics and graph theory. Part~II
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 381
\pages 78--87
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3853}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 179
\issue 5
\pages 616--620
\crossref{https://doi.org/10.1007/s10958-011-0613-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83055186786}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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