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- W1594024718 abstract "Let ‖.‖ be a norm in Rd whose unit ball is B. Assume that V⊂B is a finite set of cardinality n, with ∑v∈Vv=0. We show that for every integer k with 0≤k≤n, there exists a subset U of V consisting of k elements such that ‖∑v∈Uv‖≤⌈d/2⌉. We also prove that this bound is sharp in general. We improve the estimate to O(d) for the Euclidean and the max norms. An application on vector sums in the plane is also given." @default.
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- W1594024718 date "2016-06-01" @default.
- W1594024718 modified "2023-10-06" @default.
- W1594024718 title "Small subset sums" @default.
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- W1594024718 doi "https://doi.org/10.1016/j.laa.2016.02.035" @default.
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