Abstract
A graph is called well-indumatched if all of its maximal induced matchings have the same size. Akbari et al. [1] provided a characterization of well-indumatched trees and some results on well-indumatched unicyclic graphs. In this paper, we extend this result by providing a complete structural characterization of well-indumatched pseudotrees, in which each component has no cycle or a unique cycle, by identifying the well-indumatched graph families.
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