A Short Proof of Euler–Poincaré Formula
| Autoři | |
|---|---|
| Rok publikování | 2021 |
| Druh | Článek ve sborníku |
| Konference | Extended Abstracts EuroComb 2021. Trends in Mathematics |
| Fakulta / Pracoviště MU | |
| Citace | HLINĚNÝ, Petr. A Short Proof of Euler–Poincaré Formula. In Nešetřil J., Perarnau G., Rué J., Serra O. Extended Abstracts EuroComb 2021. Trends in Mathematics. Cham: Birkhäuser, 2021, s. 92-96. ISBN 978-3-030-83822-5. Dostupné z: https://dx.doi.org/10.1007/978-3-030-83823-2_15. |
| www | http://arxiv.org/abs/1612.01271 |
| Doi | http://dx.doi.org/10.1007/978-3-030-83823-2_15 |
| Klíčová slova | Euler–Poincaré formula; Polytopes; Discharging |
| Popis | "V-E+F=2", 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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