2005 | OriginalPaper | Chapter
On Complexity and Approximability of the Labeled Maximum/Perfect Matching Problems
Author : Jérôme Monnot
Published in: Algorithms and Computation
Publisher: Springer Berlin Heidelberg
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In this paper, we deal with both the complexity and the approximability of the labeled perfect matching problem in bipartite graphs. Given a simple graph
G
= (
V
,
E
) with
n
vertices with a color (or label) function
L
:
E
→ {
c
1
,...,
c
q
}, the labeled maximum matching problem consists in finding a maximum matching on
G
that uses a minimum or a maximum number of colors.