# On the non-existence of $srg(76,21,2,7)$

**Authors:** Monther R. Alfuraidan, Ibrahim O. Sarumi, Sergey Shpectorov

arXiv: 1706.07320 · 2017-06-23

## TL;DR

This paper proves that a strongly regular graph with parameters (76,21,2,7) cannot exist by employing a novel approach based on the graph's unit vector representation.

## Contribution

It introduces a new non-existence proof for the specific strongly regular graph using unit vector representation methods.

## Key findings

- Proves non-existence of srg(76,21,2,7)
- Introduces a novel proof technique based on vector representations
- Enhances understanding of parameter constraints for strongly regular graphs

## Abstract

We present a new non-existence proof for the strongly regular graph $G$ with parameters $(76,21,2,7)$, using the unit vector representation of the graph.

## Full text

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## References

4 references — full list in the complete paper: https://tomesphere.com/paper/1706.07320/full.md

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Source: https://tomesphere.com/paper/1706.07320