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- W4328006256 abstract "Given <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$Ain mathbb{Z}^{mtimes n}$</tex> and <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$boldsymbol{b}in mathbb{Z}^{m}$</tex> , we provide a sharp upper bound for the <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$ell_{infty}$</tex> -distance from any vertex of the polyhedron <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$P(A, boldsymbol{b})=left{boldsymbol{x} in mathbb{R}_{geq 0}^n: A boldsymbol{x}=boldsymbol{b}right}$</tex> to a nearby feasible integral point under a strong assumption regarding the dimensions of the matrix <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$A$</tex> . It is hoped that this result provides motivation for conducting further research into providing more such upper bounds under certain additional assumptions." @default.
- W4328006256 created "2023-03-22" @default.
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- W4328006256 date "2022-08-01" @default.
- W4328006256 modified "2023-09-27" @default.
- W4328006256 title "Finding an Optimal Proximity Bound in a Very Special Scenario" @default.
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- W4328006256 doi "https://doi.org/10.1109/mcsi55933.2022.00032" @default.
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