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Well-indumatched Trees and Graphs of Bounded Girth
[article]
2019
arXiv
pre-print
A graph G is called well-indumatched if all of its maximal induced matchings have the same size. In this paper we characterize all well-indumatched trees. We provide a linear time algorithm to decide if a tree is well-indumatched or not. Then, we characterize minimal well-indumatched graphs of girth at least 9 and show subsequently that for an odd integer g greater than or equal to 9 and different from 11, there is no well-indumatched graph of girth g. On the other hand, there are infinitely
arXiv:1903.03197v2
fatcat:uqxica22f5fmzminvnjjk7za5y