Abstract

In this paper a set of transformations (κ-transformations) between eulerian trails is investigated. It is known that two arbitrary eulerian trails can be transformed into each other by a sequence of κ-transformations. For compatible eulerian trails the set of κ-transformations is augmented by the set of κ-detachments and κ-absorptions. This augmented set is capable of transforming two arbitrary P-compatible eulerian trails (P is an edge partition system) into each other. This result is applied to A-trails, alternating eulerian trails and digraphs.

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