Article ID Journal Published Year Pages File Type
5773384 Linear Algebra and its Applications 2017 23 Pages PDF
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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Non-existence of (76,30,8,14) strongly regular graph
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