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In the present paper we give a direct, shorter, proof of this theorem. Then we prove the existence of a half-integral optimal solution for the dual problem.
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Oct 22, 2024 · We consider a network consisting of an undirected graph G=(V,E) with nonnegative integer capacities c(e) and costs a(e) on the edges e\in E, and ...
The minimum cost maximum multi(commodity)flow problem (∗) studied in this paper is to find a c-admissible mul- tiflow f in G such that: (i) f is allowed to ...
cost a(e). The minimum cost maximum multi(commodity)flow problem ( * ) studied in this paper is to find a c-admissible multiflowfin G such that: (i) fis ...
Dec 31, 2009 · Generalizing known results on edge-capacitated multiflows, we show that the problem of finding a minimum cost multiflow among the feasible ...
Generalizing known results on edge-capacitated multiflows, we show that the problem of finding a minimum cost multiflow among the feasible multiflows of maximum ...
We study the problem of finding a fractional node-capacitated multiflow of maximum value in an undirected network. Previously known methods for this problem are ...
Mar 17, 2005 · The minimum cost network flow problem has many typical features of a linear programming problem. Here feasibility corresponds to determining ...
Missing: multiflows | Show results with:multiflows
Apr 3, 2014 · In the general case, multi-commodity flow can have fractional optimum flow even if the capacities/costs are integers.
Sep 4, 2019 · In this paper, we address the minimum-cost node-capacitated multiflow problem in an undirected network.