Pith. sign in

REVIEW 1 cited by

Perron and Frobenius meet Carath\'{e}odory

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1901.00540 v1 pith:22WBN3AM submitted 2019-01-02 math.MG math.HO

Márton Naszódi , Alexandr Polyanskii This is my paper · ORCID
classification math.MGmath.HO
keywords carathapproachmatrixodorytheoremareacertainclassical
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We present a new approach of proving certain Carath\'{e}odory-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 Carath\'{e}odory Theorem.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On Theorems of Sinajova, Rankin and Kuperberg Concerning Spherical Point Configurations

    math.MG 2019-08 conditional novelty 5.0 of 10

    The paper re-proves known theorems of Sinajova, Rankin, and Kuperberg on spherical point configurations using spherical Euclidean distance matrices and the Perron-Frobenius theorem, though one proof has a gap.

Pith tools