Flavia Bonomo, Fabiano Oliveira, Moysés S. Sampaio, Jayme Szwarcfiter
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The class of k-thin graphs have recently been introduced generalizing interval graphs. The complexity of the recognition of k-thin is open, even for fixed k 1. We introduce a subclass of the k-thin graphs, called precedence k-thin graphs, presenting an efficient recognition algorithm based on PQ trees.