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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 475, Pages 93–98 (Mi znsl6686)  
On spanning trees without vertices of degree 2 in plane triangulations

D. V. Karpovab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, Mathematics and Mechanics Faculty, St. Petersburg, Russia
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Abstract: Let $G$ be a $2$-connected plane graph such that at most one its face is not a triangle. It is proved that $G$ has a spanning tree without vertices of degree $2$.
Key words and phrases: plane graph, triangulation, spanning tree.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Z50.31.0030
НШ-3856.2014.1
Russian Foundation for Basic Research 14-01-00156_а
Received: 26.11.2018
Document Type: Article
UDC: 519.173.2, 519.172.1
Language: Russian
Citation: D. V. Karpov, “On spanning trees without vertices of degree 2 in plane triangulations”, Combinatorics and graph theory. Part X, Zap. Nauchn. Sem. POMI, 475, POMI, St. Petersburg, 2018, 93–98
Citation in format AMSBIB
\Bibitem{Kar18}
\by D.~V.~Karpov
\paper On spanning trees without vertices of degree 2 in plane triangulations
\inbook Combinatorics and graph theory. Part~X
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 475
\pages 93--98
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6686}
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