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Commit 6ef6e03a authored by Noah Zarro's avatar Noah Zarro
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key concepts lecture 1

parents
# Synchronous Graph Coloring
## Key Concepts
- Edges can communicate with each other
- $\delta$ is the degree of a node
- $\Delta$ is the maximum degree of any node in the tree
- $\Chi$ is the Chromatic Number, i.e. the least number of colors needed to color the graph
- Usually generic fast algorithms need $\Delta+1$ colors
- Trees always have $\Chi\leq1$
- Log* is *how many nested logs must be taken*
- Six-2-Three Algorithm 3-colors a tree in $\mathcal{O}(Log^* n + k)$
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