Some results about Colored Tverberg Theorem
Carlos H. F. Poncio, Edivaldo Lopes dos Santos, Leandro Vicente Mauri, and Denise de Mattos
TL;DR
This paper advances the understanding of the Colored Tverberg theorem by providing alternative proofs for key conjectures and extending existing results in the field.
Contribution
It offers an alternative proof for the Barany-Larman conjecture at specific primes and generalizes the colored Tverberg theorem of Zivaljevic and Vrecica.
Findings
Proof of the Barany-Larman conjecture for primes -1
Generalizations of the Colored Tverberg theorem
Enhanced understanding of colored Tverberg problems
Abstract
In this paper, we present some results related to Barany-Larman colored problem and The Zivaljevic and Vrecica colored Tverberg problem. We give an alternative proof for the Barany-Larman Conjecture for primes -1 and the optimal colored Tverberg theorem. Also, we prove generalizations of the Colored Tverberg theorem of Zivaljevic and Vrecica.
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Taxonomy
TopicsLimits and Structures in Graph Theory · Finite Group Theory Research · Coding theory and cryptography