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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 3, Pages 739–755 (Mi zvmmf5333)  
A generalized “wave” method for solving extremal problems on graphs

S. M. Avdoshin, V. V. Belov

Moskva
Full-text PDF (1888 kB)
Abstract: An optimization complex of a graph is constructed, and on the basis of this a statement is formalized in the class of wave subgraphs introduced in this paper also, and a solution of extremal problems on an arbitrary flow graph is given. The applicability of the method to the solution of multi-iteration problems is considered using the example of the problem of the greatest pair-combination of a bipartite graph. A new algorithm with an estimate of complexity improving the known estimate $O(n^{5/2})$ is presented.
Received: 10.02.1978
Revised: 29.11.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 3, Pages 189–207
DOI: https://doi.org/10.1016/0041-5553(79)90139-3
Bibliographic databases:
Document Type: Article
UDC: 519.176
MSC: Primary 05C38; Secondary 90C35, 94C15, 68R10
Language: Russian
Citation: S. M. Avdoshin, V. V. Belov, “A generalized “wave” method for solving extremal problems on graphs”, Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979), 739–755; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 189–207
Citation in format AMSBIB
\Bibitem{AvdBel79}
\by S.~M.~Avdoshin, V.~V.~Belov
\paper A~generalized ``wave'' method for solving extremal problems on graphs
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 3
\pages 739--755
\mathnet{http://mi.mathnet.ru/zvmmf5333}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=538941}
\zmath{https://zbmath.org/?q=an:0421.05040}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 3
\pages 189--207
\crossref{https://doi.org/10.1016/0041-5553(79)90139-3}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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