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Article . 2021
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https://doi.org/10.1007/978-3-...
Part of book or chapter of book . 2021 . Peer-reviewed
License: Springer TDM
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The Flat Wall Theorem for Bipartite Graphs with Perfect Matchings

Authors: Giannopoulou, A.C.; Wiederrecht, S.;

The Flat Wall Theorem for Bipartite Graphs with Perfect Matchings

Abstract

Matching minors are a specialised version of minors fit for the study of graphs with perfect matchings. The first major appearance of matching minors was in a result by Little who showed that a bipartite graph is Pfaffian if and only if it does not contain \(K_{3,3}\) as a matching minor. Later it was shown, that \(K_{3,3}\)-matching minor free bipartite graphs are essentially, that is after some clean-up and with a single exception, bipartite planar graphs glued together at 4-cycles.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average