2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 139144
author:  Gyula Pap 

title: 
Packing nonreturning
A
paths algorithmically

keywords: 
A
paths, matching

abstract: 
In this paper we present an algorithmic approach to packing
A
paths. It is regarded as a generalization of
Edmonds' matching algorithm, however there is the
significant difference that here we do not build up any
kind of alternating tree. Instead we use the socalled
3way lemma, which either provides augmentation, or a dual,
or a subgraph which can be used for contraction. The method
works in the general setting of packing nonreturning
A
paths. It also implies an eardecomposition of
criticals, as a generalization of the odd eardecomposition
of factorcritical graph.

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reference: 
Gyula Pap (2005), Packing nonreturning
A
paths algorithmically, in 2005 European
Conference on Combinatorics, Graph Theory and Applications
(EuroComb '05), Stefan Felsner (ed.), Discrete
Mathematics and Theoretical Computer Science
Proceedings AE, pp. 139144

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