Non-existence of (76,30,8,14) strongly regular graph
classification
🧮 math.CO
keywords
graphregularstronglynon-existencepropertiesboundcannotcliques
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We prove the non-existence of strongly regular graph with parameters $(76,30,8,14)$. We use Euclidean representation of a strongly regular graph together with a new lower bound on the number of 4-cliques to derive strong structural properties of the graph, and then use these properties to show that the graph cannot exist.
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