# Are Erd\"os- R\'enyi Random Graphs Topologically Random?

## TL;DR

This paper demonstrates that Erdős-Rényi random graphs do not exhibit topological randomness, challenging assumptions about their structural properties.

## Contribution

It provides a formal proof that Erdős-Rényi graphs are not topologically random, clarifying their structural limitations.

## Key findings

- Erdős-Rényi graphs lack topological randomness
- Theoretical proof of non-random topological structure
- Challenges previous assumptions about graph randomness

## Abstract

No. We prove that Erdos- Renyi Random Graphs are not topologically random.

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Source: https://tomesphere.com/paper/1703.00210