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Extensions of the Scherck-Kemperman Theorem
Y. O. Hamidoune
Let be a reflexive relation with a transitive automorphisms group. Let and let be a finite subset of with We prove that the size of (the…
Distinct Matroid Base Weights and Additive Theory
Y. O. Hamidoune, I. P. da Silva
Let be a matroid on a set and let be a weight function, where is a cyclic group. Assuming that satisfies the Pollard's Condition (i.e. Eve…
Distinct Lengths Modular Zero-sum Subsequences: A Proof of Graham's Conjecture
Weidong Gao, Y. O. Hamidoune, Guoqing Wang
Let be a positive integer and let be a sequence of integers in the interval . If there is an such that any nonempty subsequence with sum $\pmod…
Extensions of the Moser-Scherck-Kemperman-Wehn Theorem
Yahya Ould Hamidoune
Let be a reflexive relation having a transitive group of automorphisms and let Let be a subset of with . (i) If is finite, then…