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This paper outlines a method to determine whether two label-regular directedtrees, are isomorphic and when they are almost isomorphic. The approachinvolves reinterpreting label-regular directed trees as universal covers ofrooted graphs. This allows us associate a unique graph with each isomorphismclass of a label-regular directed tree. Additionally, by examining the graphmonoid we can verify when two unfolding graphs produce almost isomorphicunfolding trees, thereby classifying unfolding trees up to almost isomorphism.

Classification of Label-Regular Directed Trees up to Almost Isomorphism