Geodesic
Perron and Frobenius meet Carathéodory
Márton Naszódi1 ; Alexandr Polyanskii2
1Loránd Eötvös University, Budapest
2MIPT, Moscow
The electronic journal of combinatorics, Tome 28 (2021) no. 3
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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. At the end, we list some results and conjectures that we hope can be approached with this method.
DOI : 10.37236/9996
Classification : 52A35, 15B48, 15A18
Mots-clés : Carathéodory-type theorems, Perron-Frobenius theorem, Rankin's and Steinitz's theorems

Márton Naszódi  1   ; Alexandr Polyanskii  2

1 Loránd Eötvös University, Budapest
2 MIPT, Moscow 
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     title = {Perron and {Frobenius} meet {Carath\'eodory}},
     journal = {The electronic journal of combinatorics},
     year = {2021},
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Márton Naszódi; Alexandr Polyanskii. Perron and Frobenius meet Carathéodory. The electronic journal of combinatorics, Tome 28 (2021) no. 3. doi: 10.37236/9996

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