Number of isomorphism classes in graphs with $n$ vertices
This blog post is a re-write up of an interesting problem I encountered during my time taking CMSC 27410 (Honors Combinatorics) at UChicago.
Trying to live the good life.
David Suh*, et al.**
*Student, Mathematician, Programmer. **Unequal contribution.
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Exploiting linearity of $\mathbb E$: Buffon's Noodle
Keywords:
#statistics
Introduction In a normal treatment of probability theory, one of the first properties of taking expectation $\mathbb E$ is linearity: $$ \mathbb E[X + Y] = \mathbb E[X] + \mathbb E[Y].