## Abstract Let __G__ = (__N, A__) be a network with a designated source node __s__, a designated sink node __t__, and a finite integral capacity __u~ij~__ on each arc (__i, j__) โ __A__. An elementary __K__โflow is a flow of __K__ units from __s__ to __t__ such that the flow on each arcis 0 or 1.
Maximum Balanced Flow in a Network
โ Scribed by Haggai Ilani; Michael Lomonosov
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 123 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A graph G is balanced if the maximum ratio of edges to vertices, taken over all subgraphs of G, occurs at G itself. This note uses the max-flow/min-cut theorem to prove a good characterization of balanced graphs. This characterization is then applied to some results on how balanced graphs may be com
In previous papers, we discussed the fundamental theory of matching problems and algorithms in terms of a network flow model. In this paper, we present explicit augmentation procedures which apply to the wide range of capacitated matching problems and which are highly efficient for k-factor problems
We discuss efficient augmentation algorithms for the maximum balanced flow problem which run in O(nm 2 ) time. More explicitly, we discuss a balanced network search procedure which finds valid augmenting paths of minimum length in linear time. The algorithms are based on the famous cardinality match