Naszódi, Márton and Polyanskii, Alexandr (2021) Perron and Frobenius meet Carathéodor. ELECTRONIC JOURNAL OF COMBINATORICS, 28 (3). Paper No.-3.26. ISSN 1097-1440
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Official URL: https://doi.org/10.37236/9996
Abstract
We present a new approach of proving certain Carathéodory-type theorems using the Perron-Frobenius Theorem, a classical result in matrix theory describing the largest eigenvalue of a matrix with positive entries. One of the problems left open in this note is whether our approach may be extended to prove similar results in the area, in particular the Colourful Carathéodory Theorem.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria |
| Depositing User: | Dr. Márton Naszódi |
| Date Deposited: | 27 Sep 2023 12:40 |
| Last Modified: | 27 Sep 2023 12:40 |
| URI: | http://real.mtak.hu/id/eprint/175292 |
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