Establishes closed all-rank formulas for P_r(G) in cyclic-index groups and F_q-Heisenberg families, plus rigidity and isoclinism determination from low-rank values.
The American Mathematical Monthly , volume =
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 2representative citing papers
Maximal EF1 allocations exist for two agents under monotone valuations on any conflict graph and are computable in polynomial time for several cases, but fail to exist for three agents even with identical monotone valuations and are NP-hard to decide; EF[1,1] maximal allocations exist for identical非
citing papers explorer
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Higher Commutativity in Finite Groups, Rigidity, Extremal bounds, and Heisenberg-Type Families
Establishes closed all-rank formulas for P_r(G) in cyclic-index groups and F_q-Heisenberg families, plus rigidity and isoclinism determination from low-rank values.
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Fair Allocation under Conflict Constraints
Maximal EF1 allocations exist for two agents under monotone valuations on any conflict graph and are computable in polynomial time for several cases, but fail to exist for three agents even with identical monotone valuations and are NP-hard to decide; EF[1,1] maximal allocations exist for identical非