Displaying similar documents to “On a Construction of Digital Convex ( 2 S + 1 ) -gons of Minimum Diameter”

Existence of perfect matchings in a plane bipartite graph

Zhongyuan Che (2010)

Czechoslovak Mathematical Journal

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We give a necessary and sufficient condition for the existence of perfect matchings in a plane bipartite graph in terms of elementary edge-cut, which extends the result for the existence of perfect matchings in a hexagonal system given in the paper of F. Zhang, R. Chen and X. Guo (1985).

A note on the hardness results for the labeled perfect matching problems in bipartite graphs

Jérôme Monnot (2008)

RAIRO - Operations Research

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In this note, we strengthen the inapproximation bound of (log) for the labeled perfect matching problem established in J. Monnot, The Labeled perfect matching in bipartite graphs, (2005) 81–88, using a self improving operation in some hard instances. It is interesting to note that this self improving operation does not work for all instances. Moreover, based on this approach we deduce that the problem does not admit constant approximation algorithms for connected planar...