Titlebook: Extended Abstracts EuroComb 2021; European Conference Jaroslav Nešetřil,Guillem Perarnau,Oriol Serra Conference proceedings 2021 The Edito

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Size of Local Finite Field Kakeya Sets,Let . be a finite field consisting of . elements and let . be an integer. In this paper, we study the size of local Kakeya sets with respect to subsets of . and obtain upper and lower bounds for the minimum size of a (local) Kakeya set with respect to an arbitrary set ..

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朋党派系

,A Short Proof of Euler–Poincaré Formula,“.”, the famous Euler’s polyhedral formula, has a natural generalization to convex polytopes in every finite dimension, also known as the Euler–Poincaré Formula. We provide another short inductive combinatorial proof of the general formula. Our proof is self-contained and it does not use shellability of polytopes.

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