Publications by Joshua Paik

ER k-cycles

k-cycles and uniform in degree graphs Let us try to compute the expected number of \(k\)-cycles and \(k\)-cycles with targets in an Erdos-Renyi graph. Theorem: Let \(H\) be a directed graph on \(k\) vertices with \(m\) edges. Let \(G \sim G(n,p)\) be the Erdos-Renyi graph on \(n\) vertices with edge probability \(p\). Let \(X_k\) denote the numbe...

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SO2

R Markdown This is an R Markdown document. Markdown is a simple formatting syntax for authoring HTML, PDF, and MS Word documents. For more details on using R Markdown see http://rmarkdown.rstudio.com. When you click the Knit button a document will be generated that includes both content as well as the output of any embedded R code chunks within t...

593 sym R (262 sym/2 pcs) 1 img