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This tag is used if a reference is needed in a paper or textbook on a specific result.

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Expansion in strongly regular graphs

Have you seen the following statement proven anywhere? Let $G$ be a strongly regular graph with parameters $(n,k,\lambda,\mu)$ with $\lambda,\mu>0$. Then there is no set $A$ of at least $n/4$ vertice …
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Matching with probabilistic edges

Linearity of expectation might be helpful here. Pick any pairing of vertices, the probability that all of these edges exist is $p^{n}$. So the expected number of matchings must be $n!p^{n}\simeq (\f …
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  • 93