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On different notions of calibrations for minimal partitions and minimal networks in โ„<sup>2</sup>

On different notions of calibrations for minimal partitions and minimal networks in โ„<sup>2</sup>

Abstract Calibrations are a possible tool to validate the minimality of a certain candidate. They have been introduced in the context of minimal surfaces and adapted to the case of the Steiner problem in several variants. Our goal is to compare the different notions of calibrations for the Steiner problem โ€ฆ