There does not exist a strongly regular graph with parameters $(1911,270,105,27)$

TL;DR

This paper proves the non-existence of a strongly regular graph with specific parameters, resolving a particular case in graph theory.

Contribution

It establishes the non-existence of a strongly regular graph with parameters (1911, 270, 105, 27), filling a gap in the classification of such graphs.

Findings

No strongly regular graph exists with parameters (1911, 270, 105, 27)

The proof rules out this parameter set in the classification

Advances understanding of strongly regular graph existence conditions

Abstract

In this paper we show that there does not exist a strongly regular graph with parameters $(1911,270,105,27)$.