ICALP 1978: Automata, Languages and Programming pp 425-439

# Multiterminal network flow and connectivity in unsymmetrical networks

• C. P. Schnorr
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 62)

## Abstract

Let Fu,v be the maximal flow from u to v in a network =(V,E,c). We construct the matrix (min{Fu,v,Fv,u}|u,vεV) by solving |V| log 2|V| individual max-flow problems for . There is a tree network =(V,$$\bar E,\bar c$$) that stores minimal cuts corresponding to min{Fu,v,Fv,u} for all u,v. can be constructed by solving |V| log 2|V| individual max flow problems for the given network which can be done within O(|V|4) steps using the Dinic-Karzanov algorithm. We design an algorithm that computes the edge connectivity k of a directed graph within (k|E| |V|) steps.

## Keywords

Maximal Flow Tree Network Minimal Capacity Edge Connectivity Weak Component
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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