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@inproceedings{1799159,
author = {Hliněný, Petr},
address = {Cham},
booktitle = {Extended Abstracts EuroComb 2021. Trends in Mathematics},
doi = {http://dx.doi.org/10.1007/978-3-030-83823-2_15},
editor = {Nešetřil J., Perarnau G., Rué J., Serra O.},
keywords = {Euler–Poincaré formula; Polytopes; Discharging},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Cham},
isbn = {978-3-030-83822-5},
pages = {92-96},
publisher = {Birkhäuser},
title = {A Short Proof of Euler–Poincaré Formula},
url = {http://arxiv.org/abs/1612.01271},
year = {2021}
}
TY - JOUR
ID - 1799159
AU - Hliněný, Petr
PY - 2021
TI - A Short Proof of Euler–Poincaré Formula
PB - Birkhäuser
CY - Cham
SN - 9783030838225
KW - Euler–Poincaré formula
KW - Polytopes
KW - Discharging
UR - http://arxiv.org/abs/1612.01271
N2 - "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.
ER -
HLINĚNÝ, Petr. A Short Proof of Euler–Poincaré Formula. In Nešetřil J., Perarnau G., Rué J., Serra O. \textit{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.
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