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Zap. Nauchn. Sem. POMI, 2018, Volume 475, Pages 5–21 (Mi znsl6683)  

The structure of minimum-weight directed forests: related forests and convexity inequalities

V. A. Buslov

St. Petersburg State University, Faculty of Physics, St. Petersburg, Russia

Abstract: A toolkit has been developed that allows to build directed forests from another directed forests. this toolkit helps to prove inequalities that connect the weights of minimal directed forests with different numbers of trees in them. Theorem on related forests hoe to transform a the minimal directed forest into another minimal directed forest with the number of roots less or greater by one.

Key words and phrases: minimal forest, directed tree, convexity inequalities.

Full text: PDF file (226 kB)
References: PDF file   HTML file
UDC: 519.172.1, 519.172.3
Received: 22.11.2018

Citation: V. A. Buslov, “The structure of minimum-weight directed forests: related forests and convexity inequalities”, Combinatorics and graph theory. Part X, Zap. Nauchn. Sem. POMI, 475, POMI, St. Petersburg, 2018, 5–21

Citation in format AMSBIB
\Bibitem{Bus18}
\by V.~A.~Buslov
\paper The structure of minimum-weight directed forests: related forests and convexity inequalities
\inbook Combinatorics and graph theory. Part~X
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 475
\pages 5--21
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6683}


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