Mathematics – Combinatorics
Scientific paper
2009-11-20
Electronic Journal of Combinatorics 15 (2008), #R136
Mathematics
Combinatorics
17 pages
Scientific paper
Given an assignment of weights w to the edges of a graph G, a matching M in G
is called strongly w-maximal if for any matching N the sum of weights of the
edges in N\M is at most the sum of weights of the edges in M\N. We prove that
if w assumes only finitely many values all of which are rational then G has a
strongly w-maximal matching.
Aharoni Ron
Berger Eli
Georgakopoulos Agelos
Sprüssel Philipp
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