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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 519, Pages 22–27
DOI: https://doi.org/10.31857/S2686954324050058 (Mi danma560) 		 
MATHEMATICS

An exact quadratic algorithm for the shortest tree transformation

K. Yu. Gorbunova, V. A. Lyubetskiiab

a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia
DOI: https://doi.org/10.31857/S2686954324050058
Abstract: The article proposes a new exact quadratic algorithm in complexity that solves the problem of the shortest transformation (“alignment”) of one loaded tree into another, taking into account arbitrary prices of operations on trees. Three operations are considered: adding vertex deletions to an edge or root of a tree and shifting a subtree with deletions.
Keywords: discrete optimization, shortest tree transformation, operations on a tree, operation price, exact algorithm, quadratic complexity algorithm, tree alignment.
Funding agency Grant number
Russian Science Foundation 24-44-00099
This work was supported by the Russian Science Foundation, project no. 24-44-00099, https://rscf.ru/en/project/24-44-00099/.
Presented: A. L. Semenov
Received: 24.01.2024
Revised: 01.08.2024
Accepted: 01.08.2024
English version:
Doklady Mathematics, 2024, Volume 110, Issue 2, Pages 373–378
DOI: https://doi.org/10.1134/S1064562424702259
Bibliographic databases:
Document Type: Article
UDC: 519.178
Language: Russian
Citation: K. Yu. Gorbunov, V. A. Lyubetskii, “An exact quadratic algorithm for the shortest tree transformation”, Dokl. RAN. Math. Inf. Proc. Upr., 519 (2024), 22–27; Dokl. Math., 110:2 (2024), 373–378
Citation in format AMSBIB
\Bibitem{GorLyu24}
\by K.~Yu.~Gorbunov, V.~A.~Lyubetskii
\paper An exact quadratic algorithm for the shortest tree transformation
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 519
\pages 22--27
\mathnet{http://mi.mathnet.ru/danma560}
\crossref{https://doi.org/10.31857/S2686954324050058}
\elib{https://elibrary.ru/item.asp?id=75994111}
\transl
\jour Dokl. Math.
\yr 2024
\vol 110
\issue 2
\pages 373--378
\crossref{https://doi.org/10.1134/S1064562424702259}
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