Exact EFX allocations exist for bipartite multi-graphs and high-girth t-chromatic multi-graphs with cancellable valuations via polynomial-time algorithms, and for multi-trees with monotone valuations.
Maximin-aware allocations of indivisible goods
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EFX Allocations on Some Multi-graph Classes
Exact EFX allocations exist for bipartite multi-graphs and high-girth t-chromatic multi-graphs with cancellable valuations via polynomial-time algorithms, and for multi-trees with monotone valuations.