Geodesic
A generalized “wave” method for solving extremal problems on graphs
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 739-755

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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. 
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     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},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a15/}
}
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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/