A Short Proof of Euler–Poincaré Formula
نویسندگان
چکیده
“\(V-E+F=2\)”, the famous Euler’s polyhedral formula, has a natural generalization to convex polytopes in every finite dimension, also known as Euler–Poincare Formula. We provide another short inductive combinatorial proof of general formula. Our is self-contained and it does not use shellability polytopes.
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ژورنال
عنوان ژورنال: Trends in mathematics
سال: 2021
ISSN: ['2297-024X', '2297-0215']
DOI: https://doi.org/10.1007/978-3-030-83823-2_15