Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 739-755
Citer cet article
S. M. Avdoshin; V. V. Belov. A generalized “wave” method for solving extremal problems on graphs. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 739-755. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a15/
@article{ZVMMF_1979_19_3_a15,
author = {S. M. Avdoshin and V. V. Belov},
title = {A~generalized {\textquotedblleft}wave{\textquotedblright} method for solving extremal problems on graphs},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {739--755},
year = {1979},
volume = {19},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a15/}
}
TY - JOUR
AU - S. M. Avdoshin
AU - V. V. Belov
TI - A generalized “wave” method for solving extremal problems on graphs
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1979
SP - 739
EP - 755
VL - 19
IS - 3
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a15/
LA - ru
ID - ZVMMF_1979_19_3_a15
ER -
%0 Journal Article
%A S. M. Avdoshin
%A V. V. Belov
%T A generalized “wave” method for solving extremal problems on graphs
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1979
%P 739-755
%V 19
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a15/
%G ru
%F ZVMMF_1979_19_3_a15
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.
