Abstract This lecture is designed for Week 9 of the MH1301 Discrete Mathematics curriculum, transitioning from graph traversals to structural properties. We will define the chromatic number and ...

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The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

Abstract: The graph coloring problem involves coloring the nodes of a graph using the minimum number of colors such that no two adjacent nodes share the same color. This NP-hard problem has various ...

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An audiogram can diagnose your hearing loss and indicate what type of hearing loss you have. It can distinguish your hearing in each ear and whether you have hearing loss on one or both sides. You can ...

Abstract: Coloring for random graph from G(n,1/2) is a classic example exhibiting an Information v. Computation gap: it has chromatic number of Theta(n/log n) w.p. 1-o(1) while the best efficiently ...