A Short Proof of Euler–Poincaré Formula
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Proceedings |
| Conference | Extended Abstracts EuroComb 2021. Trends in Mathematics |
| MU Faculty or unit | |
| Citation | |
| Web | http://arxiv.org/abs/1612.01271 |
| Doi | http://dx.doi.org/10.1007/978-3-030-83823-2_15 |
| Keywords | Euler–Poincaré formula; Polytopes; Discharging |
| Description | "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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