The graphs with maximum induced matching and maximum matching the same size

Abstract

Kobler andRotics gave a polytime algorithm for deciding if a graph hasmaximum inducedmatching andmaximummatching the same size, and for finding amaximum inducedmatching in a graph where equality holds. We give a simple characterization of these graphs. Our characterization provides a simpler recognition algorithm. © 2005 Elsevier B.V. All rights reserved. 
DOI: 10.1016/j.disc.2004.07.022

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