A counterexample shows Garg and Murhekar's 2021 algorithm for EFX allocations may not terminate, and a new poly-time algorithm computes WEFX and fPO allocations for additive bivalued valuations.
A A Counterexample For clarity, we present the algorithm from [10] as Algorithm 5, using the notation consistent with this paper
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Revisiting Fair and Efficient Allocations for Bivalued Goods
A counterexample shows Garg and Murhekar's 2021 algorithm for EFX allocations may not terminate, and a new poly-time algorithm computes WEFX and fPO allocations for additive bivalued valuations.