# Families of vectors without antipodal pairs

## TL;DR

This paper investigates extremal properties of vector families in {-1,0,1}^n, focusing on Erd
51s-Ko-Rado type results to understand their combinatorial structure.

## Contribution

It introduces new extremal bounds and properties for families of vectors in {-1,0,1}^n related to Erd
51s-Ko-Rado theorems, expanding combinatorial vector analysis.

## Key findings

- Established bounds for vector families without antipodal pairs
- Identified structural properties of extremal vector families
- Extended Erd
51s-Ko-Rado type results to new vector classes

## Abstract

Some Erd\H{o}s-Ko-Rado type extremal properties of families of vectors from $\{-1,0,1\}^n$ are considered.