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Most quasi-Monte Carlo research focuses on sampling from the unit
cube. Many problems, especially in computer graphics, are de ned via
quadrature over the unit triangle. Quasi-Monte Carlo methods fo...
The Fractional Chromatic Number of Triangle-free Graphs with $\Delta\leq 3$
Triangle-free Graphs Combinatorics
2010/11/18
Let $G$ be any triangle-free graph with maximum degree $\Delta\leq 3$. Staton proved that the independence number of $G$ is at least $\frac{5}{14}n$. Heckman and Thomas conjectured that Staton's resul...