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Cuntz and K\"uhne introduced the class of connected subgraph arrangements AG, depending on a graph G, and classified all graphs G such that the corresponding arrangement AG is free. We extend their result to the multiarrangement case and classify all graphs G for which the corresponding arrangement AG supports some multiplicity μ such that the multiarrangement (AG,μ) is free.
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Mücksch et al. (2024) studied this question.
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