# On Ryser's Conjecture

**Authors:** Antun Domic, Luis H. Gallardo

arXiv: 2509.00619 · 2025-09-03

## TL;DR

This paper establishes new sufficient conditions that confirm Ryser's conjecture in certain cases, advancing understanding of this longstanding combinatorial problem.

## Contribution

It introduces novel sufficient conditions that ensure Ryser's conjecture holds, contributing new theoretical insights.

## Key findings

- New sufficient conditions for Ryser's conjecture
- Conditions applicable to specific combinatorial structures
- Enhanced understanding of conjecture's validity scope

## Abstract

We provide new sufficient conditions under which Ryser's conjecture holds.

## Full text

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## References

21 references — full list in the complete paper: https://tomesphere.com/paper/2509.00619/full.md

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Source: https://tomesphere.com/paper/2509.00619