# A Trivial Yet Optimal Solution to Vertex Fault Tolerant Spanners

## TL;DR

This paper presents a simple yet optimal approach to constructing fault-tolerant spanners that efficiently handle vertex failures, improving upon previous bounds in the field.

## Contribution

It introduces a straightforward and optimal upper bound on the size of vertex fault-tolerant spanners, advancing the theoretical understanding of their efficiency.

## Key findings

- Provides a tight upper bound on fault-tolerant spanner size
- Demonstrates optimality in the vertex fault setting
- Simplifies previous complex constructions

## Abstract

We give a short and easy upper bound on the worst-case size of fault tolerant spanners, which improves on all prior work and is fully optimal at least in the setting of vertex faults.